Ch 8 Stuff

January 14, 2010

Here Goes Another one of these…

8.1

  • Ratio is a quotient of two numbers
  • Ratios are in the form x/y, x:y, x to y
  • Proportion is an equation stating that two or more ratios are equal
  • Proportions are in the form x/y=x1/y1
  • Product of  x and y1= Extremes
  • Product of y and x1= means
  • In a proportion, the product of the means is equal to the product of the extremes (Means-Extremes Product Theorem)
  • If the products of a pair of non-zero numbers is equal to the product of another pair of non-zero numbers, then either pair of numbers may be made by the extremes, and the other pair the means, of a proportion.
  • Mean Proportion/Geometric Mean- When the means are equal, the number is the Geometric Mean
  • Arithmetic mean, average of a set of numbers

8.2 Similarity

  • similar-figures that have the same shape but not the same size
  • dilation-enlargement
  • Reduction- reduced
  • Similar polygons have congruent corresponding angles and have ratios of the measures of corresponding sides are equal
  • The ratio of the perimeters of two similar polygon equals the ratio of any pair of corresponding sides

8.3 Methods of proving similarity

  • AAA- Definite win and the figures are similar
  • AA- Laughs at above as it just has one less angle. Still works because of the no-choice theorem
  • SSS~- this shows that all sides are proportional
  • SAS~-just remember that this works, I forgot why it did

8.4 NON IMPORTANT

  • Shadow Problems, how to use the concept of similarity to establish the congruence of angles and the proportionality of segments

8.5 Three Theorems Involving Proportions

  • Side Splitter Theorem- If a line is parallel to one side of a triangle and intersects the other two sides, it divides those two sides proportionally.
  • If three or more parallel lines are intersected by two transversals, the parallel lines divide the transversals proportionally
  • If a ray bisects an angle of a triangle, it divides the opposite side into segments that are proportional to the adjacent sides ANGLE BISECTOR THEOREM

NOTE TO SELF: SUPPLEMENTARY ANGLES ARE ANY ANGLES THAT ADD UP TO 180. THEY DO NOT HAVE TO BE RIGHT NEXT TO EACH OTHER. SOCAC IS VERY POWERFUL


HSAPQ Packet Sample#1 Round 7 Toss-ups Only

January 4, 2010

1. This country’s Lapua Movement succeeded in banning Communist activities, and a 1918 civil war saw Gustav Mannerheim’s government forces emerge victorious. The Continuation War, which saw this country aid Germany’s invasion of the Soviet Union, was a sequel to the Winter War in which the Soviet Union preemptively invaded this country. The 1975 Conference on Security and Cooperation in Europe led to some “Accords” named after this country’s capital. For 10 points, name this country led by Tarja Halonen, whose major city is Helsinki.

ANSWER: Finland

2. In a namesake reaction, some of them can react with the bases of methyl ketones to create carboxylic acids. The heaviest example is the rarest naturally occurring element on Earth, and the deficiency of another member is often the cause of a goiter. Normally featuring odd-numbered oxidation states,these elements all have an outer shell electron configuration of (NS2NP5). For 10 points, name these elements that lack one electron in their outer shell, examples of which include bromine, chlorine, and fluorine.

ANSWER: halogens [or Group 7A; or Group 17]

3. Skye Sweetnam ponders “maybe I should change my world” while contemplating this action, which “could be the cure.” The initiator of this action strikes after the singer lets his guard down, causing the singer to lament “why do I do these things I do to myself” in a Something Corporate song. This action’s recipient was the singer’s “experimental game” in another song, which notes that this action “felt so wrong, it felt so right,” and notes that it is accentuated by the recipient’s cherry Chapstick. For 10 points, name this activity performed and enjoyed in a Katy Perry song.

ANSWER: kissing a girl [accept equivalents and word forms; prompt on less specific answers]

4. One character in this story expresses his delight at a casserole and fails to notice that a tablecloth has been in use for three days. After a party, the main character is unable to find a cab until she reaches the Seine. Although they assure Madame Forestier that the title object is being repaired, the central characters must purchase a new one which takes a decade to pay off, although the original is a fake. For 10 points, name this short story about Matilde, who loses the title piece of jewelry at a ball, written by Guy de Maupassant.

ANSWER: “The Necklace” [or “La Parure”]

5. Cycads are some of the only plants to have them, and they are unique to eukaryotes. Like a longer structure, they have a 9+2 arrangement of constituent structures which make up the axoneme. The Fallopian tubes use them to conduct eggs from ovary to uterus and the trachea has a lining of them for cleaning purposes. Rotifers have a crown of them, which in some species makes them spin like wheels, and several of them are also found on paramecium. For 10 points, identify these short organelles which allow many eukaryotic cells to move.

ANSWER: cilia [or cilium] Fall 2008 ACF-Format Set #1 Round 7 Page 1 of 10 © 2008 HSAPQ

These questions will not be licensed to any future tournament and may henceforth be used for practice purposes only. It is prohibited to use these questions for any purpose of financial gain or to remove the attribution of these questions to HSAPQ.

6. This character was given gold necklaces by Peitho, clothing and instruction on sewing by Athena, and speech by Hermes. Her name in fact refers to the gifts she received from all the gods. She was given as a wife to a man whose name means “afterthought,” Epimetheus, as a revenge for the theft of fire by Epimetheus’s brother Prometheus. For 10 points, name this primordial Greek woman who was only able to prevent the escape of hope after opening a jar given to her by Zeus that contained all the world’s evils.

ANSWER: Pandora

7. Juan Padilla founded the first settlement in what is now this state, and its notable political leaders have included the vice-president of Herbert Hoover, Charles Curtis, and Senator Nancy Kassebaum. The 1936 Republican presidential nominee, Alfred Landon, was from this state, where Bushwhackers massacred over two hundred people in 1863. Border Ruffians entered this state to support the Lecompton Constitution, and this state was the site of the Pottawatomie Massacre. For 10 points, name this state that bled in a fight over slavery in the mid-1850s.

ANSWER: Kansas

8. Much of his employment was in the artistic faculty of the foundling home Ospedale della Pietà. His innovations include the regular use of the ritornello form and standardizing the “fast, slow, fast” structure of the concerto. “The Hunt” and “Storm at Sea” are among the lesser works from his cycle The Contest Between Harmony and Invention, which also depicts such images as heat-induced fatigue and freezing rain in such movements as “La Primavera.” For 10 points, name this Italian composer of the calendar-themed “The Four Seasons.”

ANSWER: Antonio Lucio Vivaldi

9. This poet wrote a collection with his brother entitled Poems by Two Brothers. One of his poems deals with a woman unable to leave her tower who weaves a tapestry inspired by a reflection in a mirror. In another of his poems, a classical hero resolves “To strive, to seek, to find, and not to yield.” In addition to “The Lady of Shallot” and “Ulysses,” the death of Arthur Hallem prompted this man to write In Memorium A.H.H. For 10 points, identify this poet, the author of “Crossing the Bar” and “The Charge of the Light Brigade.”

ANSWER: Alfred, Lord Tennyson

10. This jazz performer’s first recorded solo is on the Dizzie Gillespie track “We Love to Boogie,” and his avant-garde recordings near the end of his career include Intertsellar Space and Stellar Regions. This man, who recorded Impressions, was part of Miles Davis’ first great quintet, and developed his fast “sheets of sound” technique on recordings like My Favorite Things. His first album of original recordings was Giant Steps. For ten points, identify this jazz saxophone player of A Love Supreme.

ANSWER: John Coltrane [or Trane]

11. This author criticized how the Bible is taught in his early work Daybreak, and tackled veracity in On Truth and Lies in a Nonmoral Sense. He appended an “Attempt at Self-Criticism” to his first work, which divided the title concept into Apollonian and Dionysian aspects. This author of the The Birth of Tragedy claimed that “God is dead” in The Gay Science. For 10 points, name this German philosopher of Thus Spake Zarathustra and Beyond Good and Evil.

ANSWER: Friedrich Wilhelm Nietzsche

Fall 2008 ACF-Format Set #1 Round 7 Page 2 of 10 © 2008 HSAPQ

These questions will not be licensed to any future tournament and may henceforth be used for practice purposes only. It is prohibited to use these questions for any purpose of financial gain or to remove the attribution of these questions to HSAPQ.

12. This country’s highest peak, Mount Nyangani, is located in its Nyanga National Park. Despite such governmental operations as “Drive Out Trash” and “Roundup,” homelessness is a major problem in its cities, which include Chitungwiza and Bulawayo. Electric fences mark this country’s border with Botswana, while the more pleasant Victoria Falls are on its border with Zambia. For 10 points, name this landlocked South African country where fancy new 100-billion-dollar bills can buy you things in its capital, Harare.

Answer: Zimbabwe

13. This man signed the Treaty of Eternal Peace with Khosrow I, and sent a fleet to defeat the Ostrogoth king Witigis. The eunuch Narses was one of his trusted generals, and his two ministers were Peter Barsymes and John of Cappadocia. He attempted to quell the Monophysite controversy by imprisoning Pope Vigilius, and he fought the Green and Blue factions during the Nika revolt. For 10 points, name this Byzantine Emperor who oversaw the building of the Hagia Sophia; the husband of Theodora whose most well known general was Belisarius.

ANSWER: Justinian I

14. The Maki-Nakagawa-Sakata matrix predicts the oscillations of one group of these, a behavior which gives them mass. The Koide formula gives a possibly serendipitous relationship between the masses of another group of them, while the Michel parameters give the distribution of decays that occur within that group. Particles from both groups are produced in beta decay. Incapable of interaction via the strong nuclear force, for 10 points, identify this class of fundamental particles which include the neutrino and the electron.

ANSWER: leptons

15. Older works in this language are referred to by their predominant letters, such as the “N Poem” and the “Great Poem on T.” A landmark work of nonfiction in this language was the memoir The Days, and it was also used for the novel Season of Migration to the North. It is the vernacular of the poet Adonis and of the author of Children of the Alley, Sugar Street, and Palace Walk. For 10 points, identify this tongue, whose most influential writings may be the records of certain sayings known as the hadith and the text said to be dictated by the angel Gabriel, the Quran.

ANSWER: Arabic

16. Ithiel Town commissioned this artist’s painting of a man looking at a pyramid, a Greek temple, and a Gothic cathedral, The Architect’s Dream. He was unable to finish The Cross of the World, but did complete two cycles of paintings, one based on Volney’s Ruins, the other depicting mankind as a figure journeying down a river. In addition to The Voyage of Life and The Course of Empire, he painted a storm passing over a bend in the Connecticut River in The Ox-Bow. For 10 points, name this American painter, the founder of the Hudson River School.

ANSWER: Thomas Cole

17. On the urging of his doctor Moses Hamon, this ruler issued a decree denouncing anti-Semitic blood libels. His admiral Barbarossa won the Battle of Preveza over the Holy League, and he defeated Louis II of Hungary to win the Battle of Mohacs. Due to the influence of his wife Roxelana, he had his longtime grand vizier Ibrahim Pasha murdered. The son of Selim the Grim, he twice unsuccessfully attempted to besiege Vienna. For 10 points, name this Ottoman sultan who ruled from 1520 to 1566, known as “the Magnificent.”

ANSWER: Suleiman I [or Suleiman the Magnificent or Suleiman the Lawgiver or Kanuni]

Fall 2008 ACF-Format Set #1 Round 7 Page 3 of 10 © 2008 HSAPQ

These questions will not be licensed to any future tournament and may henceforth be used for practice purposes only. It is prohibited to use these questions for any purpose of financial gain or to remove the attribution of these questions to HSAPQ.

18. Paul Samuelson illustrated this concept with a man who is both the best attorney and secretary in Chicago. First introduced in an essay by Robert Torrens, this concept is modeled by the Hecksher-Ohlin theorem. Another economist explained this concept in On the Principles of Political Economy and Taxation, which used the example of the trade between British cloth and Portuguese wine. For 10 points, name this theory developed by David Ricardo, which states that countries should export goods that have the lowest opportunity costs, unlike absolute advantage.

ANSWER: comparative advantage

19. The Huemul project was supposed to achieve a controlled version of this process, but met with little success. The Shiva and ultimately the Nova lasers attempted to contain this process, though more mainstream attempts include producing heat by inducing a current running through a toroidal magnetic field in a tokamak. It occurs in sufficiently large stars through the C-N-O cycle, and it no longer returns additional energy after iron. For 10 points, identify this phenomenon in which at sufficient temperatures, several small nuclei form a larger one.

ANSWER: nuclear fusion

20. In this novel, an intimate dinner party is ruined when one character’s prized wedding gift, an unused pickle dish, is broken. The unnamed narrator is intrigued about the “ruin of the man” when he first meets the title character at the post office, and later learns more about him from Harmon Gow and Ruth Varnum. The title character cheats on his wife Zeena with Mattie Silver, and ends up paralyzed from a failed suicide attempt. Set in Starkfield, for 10 points, name this novel about a man injured in a tragic sledding accident, written by Edith Wharton.

ANSWER: Ethan Frome

21. An apparatus named for Kugelrohr performs one type of it over short paths. One type of this process exploits Raoult’s law to increase or decrease the vapor pressure of the substance, and may be more useful than another type which produces better results when the number of theoretical plates are increased, but cannot separate azeotropes. Those are the “steam” and “fractional” varieties of this process. For 10 points, identify this lab procedure where pure vapors of a liquid are captured and condensed, which is used to obtain a pure liquid from a mixture.

ANSWER: distillation [do not accept specific types, like “fractional distillation”]

22. One character in this play steals a pen after he discovers that Bill Oliver has forgotten him, making his plan to sell sporting goods in Florida impossible. The title character becomes jealous when he hears that Bernard will argue a case before the Supreme Court, and his son recounts his visit to Boston, where he witnessed his father’s affair with an unnamed woman. The protagonist’s son, Biff, is far more skeptical of the American Dream than Happy. For 10 points, name this play which ends shortly after the suicide of the title character, Willy Loman, written by Arthur Miller.

ANSWER: Death of a Salesman


Cruise To MEXICO (PRONOUNCED MEHICO)

December 25, 2009

Table of Contents

1. Service
2. FOOD
3. Activities
4. OTHER MISCELLANEOUS STUFF (Hey, I actually spelled it right without spell check {YESH})

1. The waiters, services, Club O2 guy, etc. were pretty awesome. Waiters stroll around the tables ready to collect any plates that are finished. Head waiters take orders and crack some jokes here and there. Pretty much, the waiters were pretty awesome.

I had to hurry to Club O2 for some awesome party, so I sped through my meal. Somehow, the Head Waiter (EDWARDO) knew and was like “You in a hurry.” When I replied that I was sort of in a hurry, he responded by  asking a rhetorical question: You have a date? Then, before I could say anything, he made the waiters speed up  since I had a “IMPORTANT DATE.”

Services were pretty good too. Pretty much if you ask for something, it’ll be delivered right away. And the service people are nice.

Club O2 director (Jordan) was a pretty swell guy. After our little argument on why the **** I wasn’t on his 15-17 list, he treated me pretty well. He, unlike other club directors actually participated in the activities such as car racing etc.

After one of the two twins had beaten this random guy at a racing, Jordan walks up and commands the winner to restart the match (even though he should have kicked the entire club out of the room as it was after 6). When the winner asked why, he replied: I wanna kick some butt before I close this club for Dinner. Then he gets owned pretty badly as he kind of didn’t get the fact that cars weren’t supposed to crash into the walls.

Also participated in ping pong and poker, constantly dissing the guy who was dissing him. Also told some stories that probably weren’t true.

Pretty much the other stewards and people to that effect were awesome. Unfortunately, they get about $2 per hour, which really sucks. Jordan was probably the luckiest of the crew (except the Captain and the other high ranking guys). He’s Canadian so he gets free health care, and with free clothes and free rooming and free food provided by the ship, he pretty much didn’t need anything. Plus he get a free $75 per week from the Canadian Government as he qualifies under the low paying thing. So he pretty much gets about $200 a week. However, the other people are kinda pitiful. May are random islanders who decided to come. And as the ship doesn’t have to pay US minimum wage, they get about $2 per hour, but they don’t get the free Canadian $75. Thus they’ll be pretty screwed once they become old and are fired off the ship.

2. FOOD

“Yeah, I like toast”- Cartoon Network advertisement

The food was pretty good, except breakfast. Breakfast were just random stuff and I kinda didn’t like it that much. Lunch was a buffet so pretty much I could get as much as I wanted. Dinner was gourmet (LOLZ <To Be Mentioned Later>). There was steak, ribs, Lobsters, Chicken, cocktails, etc. And you can order as much as you want without getting fined for it. So after realizing how much breakfast sucked, I devised a strategy for eating all the good stuff

Breakfast: Eat random bits of stuff. Try to sustain on that until lunch.

Lunch: Eat a bunch of good stuff. Then try to burn it all out in O2 club.

Dinner: Eat the really good gourmet stuff. Burn it out before midnight.

Midnight Snack: Order Pizza. Try to make sure that you become as full as possible so that you can live without much breakfast.

So with all the burning and stuff, I dropped my fat to about 9% of my entire weight and have around 42% muscle (Though I don’t really trust the scale).

3. Activities (Skip the schedule unless you’re really bored)

Schedule: (Key: M=monday, T= Tuesday, W=Wednesday)

  1. M 14:20-14:30, Board the ship
  2. M 14:30-15, Lunch
  3. M 15-18, Tour the entire ship
  4. M 18-19, Register for O2
  5. M 19-20:15, Make sure that I can navigate  through the entire ship.
  6. M 20:15-21, Dinner
  7. M 21-23, Club O2 Party
  8. M 23- T 7:30, restore Energy Time
  9. T 7:30-8:30, Discovered that breakfast sucked
  10. T 8:30-15:00, Ensenada tour, Learned to haggle (or actually my parents did, I kind of knew how from Neopets)
  11. T 15-16, Lunch, First Implement of my food plan
  12. T 16-20, TV watching
  13. T 20:15-22:30, Dinner
  14. T 22:30-23:15, Battle of the Sexes in O2
  15. T 23:15- W 1, Truth and Dare Jenga with Brother, Natalie, and Emmeline
  16. W 1-8, Sleeping
  17. W 8-9:30, Breakfast
  18. W 9:30-12:30, TV watching
  19. W 12:30-13:25, Played some Brawl along with other stuff (O2)
  20. W 13:30-14:25, Played in a Poker Tournament (O2), Took first place after everyone went all in and lost to my straight
  21. W 14:30-15:15, Lunch
  22. W 15:15-16:30, Random O2 Games
  23. W 16:30- 17:15, Holiday Show
  24. W 17:15-18, Attempt to learn some break dance moves, Failed in Attempt
  25. W 18-20:15, Hung out with Brother, Natalie, and Emmeline, Watched Shout
  26. W 20:15-21:15, Dinner
  27. W 21:15-21:45, Ping Pong (O2)
  28. W 21:45-23:30, Party in O2
  29. W 23:30-Thurs. 0, Hide and seek on the Decks (O2)
  30. Thurs.0-Time Undetermined: Hung out with O2 Buddies Until some undetermined time

Summary:

Pretty much the first day was all about getting to know the ship, with touring, eating, registering, and other entering the ship stuff. The first day was pretty exciting as we got to explore the ship and it was the first time on a boat. The second day was Mexico Day. It was pretty interesting as our guides were awesome. However, when we got to the ship, it was kinda boring as there wasn’t much to do but wait for O2. Wednesday was the best day on the boat. Hung out with newly acquired friends for a majority of the day and had lots of “Rated above PG-13″ conversations. We also watched two shows.

So pretty much if you can see the schedule, O2 pretty much dominated my schedule. Therefore, if your not an adult who can go to the casinos, or your not older than 15, DO NOT GO TO THE CRUISE. It gets dull after the first day.

Also, to digress, Penguins are epic. They helped me win a category in Apples to Apples (in innocent). GO PENGUINS.

4. Other Miscellaneous Stuff

  • Ship has a funny tail on it
  • The ship is licensed in Panama
  • People on Board are rather nice.
  • Most people are from southern US
  • The rest are from Mid-latitude US
  • Don’t play Brawl there. The TV sucks.
  • Viagra is sold like everywhere…  But is all fake… No doubt
  • NEVER GO INTO A PHARMACY THAT DOESN’T NEED PRESCRIPTIONS
  • Socalers Do NOT use the word hella…
  • QUOTE: XIANGXIN LIU- No one dies a virgin. Life always screws you in the end.

Quiz Bowl Questions (ACF)

December 18, 2009

1. By the time he was released as a war hostage in 1806, his wife had left him, and Richard Payne Knight led the effort to remove him from his seat in Parliament. The structure he then built on the corner of Park Lane and Piccadilly cost him some six thousand pounds. Bryon wrote that he was “Cold as the crags upon his native coast,” criticism that caused him to seek private life. Earlier in the 1790′s he secured posts as envoy to Brussels, Berlin, and Turkey. After the British defeated Napoleon in Egypt, the Turkish sultan allowed him to obtain any sculpture that interested him. FTP, name this man whose artifacts from Athens remain controversial.

Lord Elgin or Thomas Bruce or Lord Kincardine

2. This author commanded “Phoebus make haste, the day’s too long, be gone” in one poem, and another of this author’s poems compares a contemporary leader to Semiramis, Zenobia, and Cleopatra. Ecclesiastes inspired this author to write “The Vanity of All Worldly Things,” and this author described being “waken’d…with thund’ring noise” and the “fearful sound of ‘fire’” in “Verses Upon the Burning of Our House.” John Woodbridge secretly published the most famous collection of this author’s poems, which included “The Author to Her Book” and “To My Dear and Loving Husband.” For 10 points, name this colonial poet of The Tenth Muse Lately Sprung Up in America.

Anne Bradstreet

3. Their back ends are comprised of cliffs called headwalls, which ideally are semicircular, but this phenomenon only occurs when these formations are cut into flat plateaus. They form from summertime erosion beneath a large crevasse called a bergschrund [BURG-SHRUND] which separates the stationary from moving ice. The resulting avalanches scour a concave floor and are incorporated into the glacier, producing a bowl-shaped depression. When the ice melts, water often remains, forming a mountain lake called a tarn inside. FTP, name these amphitheatre-shaped basins found at the head of a glacial valley.

Cirque

4.


Bio Stuff that Might Be Important

December 17, 2009
  • Meiosis 1
  1. Interphase: a. Chromosomes replicate but remains uncondensed, b. Chromosomes consists of 2 genetically identical sister chromatids, c. Centrosomes duplicate, d. DNA replicates
  2. Prophase I: a. Chromosomes Condense, b. Homologous Chromosomes pair along their length, align gene by gene, and form tetrads, c. Crossing over happens
  3. Metaphase I: a. tetrads line up on the metaphase plate, b. spindle fibers attach to the chromosomes
  4. Anaphase I: a. Fibers separate the sister chromosomes and pull them towards the poles b. sister chromatids stay together, homologous chromosomes flee to opposite ends
  5. Telophase I/Cytokinesis: a. Each half has a complete haploid set of chromosomes but each are still composed of two sister chromatids, b. forms two haploids daughter cells in Cytokinesis, c. NO CHROMOSOMES WILL REPLICATE
  • Meiosis 2
  1. Prophase II: a. Spindle fibers appear again, b. chromosomes prepare to take off for the metaphase plate
  2. Metaphase II: a. Chromosomes are at the plate b. sister chromatids are NOT identical, c. pretty much like how the chromosomes lined up for metaphase for mitosis
  3. Anaphase II: a. sister chromatids split and move towards opposite ends
  4. Telophase II/Cytokinesis: a. Nuclei Form, b. four daughter cells can be seen, each different from its parent cell
  • Meiosis v. Mitosis
  1. Crossing Over in meiosis 1 v. No crossing over
  2. Tetrads on the Metaphase plate v. Replicated Chromosomes on the Metaphase Plate
  3. Sister Chromosomes remain together until the second anaphase v. (None)
  4. 2 divisions v. 1 division
  5. tetrads form v. no tatrads
  6. 4 haploid (w/ half the # of chromosomes as the parent) v. 2 diploid (w/ same # of chromosomes as the parent)
  7. Sexual Reproduction v. Asexual reproduction
  • DNA replicates during the S phase with the help from Mr. RNA Polymerase
  • Mendel’s Laws
  1. Segregation- Each homologous chromosome splits during meiosis
  2. Dominance- One Allele masks another allele, therefore one is dominant, one is recessive
  3. Independence Assortment- Homologues separate independently of each other
  • Sex linked traits occur more in males as they only have one X chromosome. Therefore if they inherit one with a disorder, they will immediately have it. Females have to get Both their chromosomes to have the disorder before they have the disease.
  • Start Codons Start Translation of mRNA, Stop Codons Stop Translation of mRNA
  • The order of the Nitrogenous Bases determine the order of amino acids
  • Peptide Bonds combine the Amino acids
  • A&T=2, C&G=3
  • A&G= has a five membered ring (purine)
  • Mutations: Inversion, Duplications, Deletion, Translocation
  • G. v C. Mutations: G. only affects the gene itself, C. affects the chromosome

CH. 7 Pretest Guide

December 16, 2009

7.1: Triangle Application Theorems

  • The sum of the measures of the three angles or a triangle is 180
  • Exterior angle=Angle that is adjacent to and supplementary to an interior angle of the polygon
  • The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
  • A segment joining the midpts of two sides of a triangle is parallel to the third side, and its length is one-half the length of the third side. (Midline Theorem)

7.2 Two Proof-oriented Triangle Theoremss

  • If two angles of one triangle are congruent, then the third angles are congruent (No choice Theorem)
  • If there exists a correspondence between the vertices of two triangles such that two angles and a non-included side of one are congruent to the corresponding parts of the other, then the triangles are congruent. (AAS)

7.3 Formulas Involving Polygons

  • Sides-> Name
  • 3->Triangle, 3-gon
  • 4->Quadrilateral, 4-gon
  • 5->Pentagon, 5-gon
  • 6->Hexagon, 6-gon
  • 7->Heptagon, 7-gon
  • 8->Octagon, 8-gon
  • 9->Nonagon, 9-gon
  • 10->Decagon, 10-gon
  • 12->Dodecagon, 12-gon
  • 15->Pentadecagon, 15-gon
  • n->n-gon
  • The sum of the measure of the angles or a polygon with n sides is given by the formula S=(n-2)180
  • Interior angles= Angles inside the figure
  • If one exterior angle is taken at each vertex, the sum of the measures of the exterior angles of a polygon is given by the formula S=360
  • The number of diagonals that can be drawn in a polygon of n sides is given by formula d=n(n-3)/2

7.4 Regular Polygons

  • regular polygon= equilateral and equiangular
  • The measure of each exterior angle of an equiangular polygon of n sides is given by the formula E=360/n

Random Review Problems

1. No Choice Theorem to prove that Angle A=Angle BDC

2. OW=OV by all radii =. Then by AAS, Tri. ROW= Tri. SOV. Then Subtraction.

6. 40+70+130=x=360-> x=120

7. X+2x+3x=180->x=30->Largest angle-90

8. Angle 1=50-> Angle 2=50

9. x+50+40-2x+130=180->40=x-> angle YZA= 50

12. 15=360/n->360/15=n->n=24

13. 180(31)=5580, 360

14. 180(n-2)=1620->n-2=9-> N=11

15. D=15(12)/2-> 15*6-> 90

16. 360/n=2(180(n-2))/n-> 180=180(n-2)-> 1=n-2->n=3

30. n(n-3)/2=360->n(n-3)=720-> n^2-3n-720=0 n=not whole number-> Not possible


Ch.6 Test Study Guide

December 7, 2009

6.1: Relating Lines to Planes

  • Planes extend infinitely and only has length and width
  • foot= the point of intersection between a line and a plane
  • A line and a plane intersect at one point
  • A plane and a plane intersect at a line
  • Three non-collinear points makes a Plane
  • A line and a point not on the line determine a plane
  • Two intersecting lines determine a plane
  • Two parallel lines determine a plane
  • If a line intersects a plane not containing it, they intersect at one and only one point
  • If two planes intersect, their intersection is exactly one line.

6.2: Perpendicularity of a Line and a Plane

  • A line is perpendicular to a plane if it is perpendicular to every line that passes through its foot.
  • If a line is Perpendicular to two distinct lines on a plane, then it is perpendicular to the plane thus every other line in the plane that passes thru its foot

6.3 Basic Facts about parallel Planes

  • A line and a plane are parallel if they do not intersect
  • Two planes are parallel if they do not intersect
  • Skew lines are lines that do not determine a plane thus not parallel nor intersecting
  • Two lines are skew if they cannot be coplanar
  • If a plane intersects two parallel planes, the line of intersection are parallel
  • If two planes are perpendicular to the same line, they are parallel to each other.
  • If a line is perpendicular to one of two parallel planes, it is perpendicular to the other plane
  • If two lines are perpendicular to a plane, they are parallel to each other
  • If a plane is perpendicular to one of two parallel lines, it is perpendicular to the other line.

IMPORTANT THEORIES IN THIS ANNOYING CHAPTER

  1. If a plane intersects two parallel planes, the lines of intersection are parallel
  2. If a line is Perpendicular to a plane, it is perpendicular to all lines on the plane that cross its foot

Quiz Bowl Resources

November 30, 2009

PPTH= # of tossups you answered (+0.5 for each power, -0.5 for each neg)/the total number of tossups you heard} * 10


QUIZ BOWL TOURNEY #2

November 16, 2009

Ok, Before We Begin… My Life Sucks… Ok Now Let’s Begin.

Lets do the MVP/LVP stuff Again!

1. MVP: Raymond… He Even Got a Book

2. Most Screwed Up Life: David Cheng… GAWD YOU JUST CAN’T BE SUBBED OUT TWO TIMES ON A HEAVY HISTORY PACKET

3. Most Hilarious Part: During Game 5 (aka the epically easy history filled packet that i was subbed out for), On a China Bonus… Moderator: This last imperial Dynasty in China. Raymond: Ming. Me: LOLOLOLOL… FAIL

4. Most Saddest Part: During Game 5 (aka the epically easy history filled packet that i was subbed out for), On a China Bonus… Moderator: This last imperial Dynasty in China. Raymond: Ming. Me: SOBS SOBS… You guys can’t be that Sad at history without me… Like seriously…

5. Most vetoes: Raymond (now dubbed double negger)

6. Most Confers person: Raymond (Bellarmine C is such an ass team. Wesley answered before Raymond Anyways… but they still called a Conferral {Thought you should talk LOUDER Wesley… I’m probably the only one who Heard that You Answered First})

7. Most Fail: I failed generally today… but the most Fail Fails will be on the bottom.

8. Shy Buzz King: I’m Reborn… JOHN JAY… GAWD… I GOT THAT FROM THE FEDERALIST PAPERS… Should have buzzed there…

9. Most Sub Outs: Me? i decided to tho…

Games:

Against Mission F: In the beginning it was kinda close but then we raped after the first Half and it became impossible for us to lose by question 18. 1-0

Against Mission C: According to Ray… this Team wasn’t better then ours even though they got 7 (whatever no one cares really) tossups while we got 5. We got owned by 60 pts. 1-1

Against Mission B: RAPED… Richard Pwned Us. 1-2

Against Mills: No comment.  1-3

Against Gunn: We DEFINITELY DEFINITELY SHOULD HAVE WON. I was Flipping subbed out on the easiest packet in the world. My team EPICALLY failed (see below). The opponent team was weird (didn’t know where east was), but the girl was strong. I was head-desking the Whole game. It drew (YEAH—– RIGHT!!!!) and they won with Quebec (RAYMOND?????) 1-4

Against Hunt: Raped…  they really really weren’t good at anything but Pop Culture and Obama. 2-4

Against Bellarmine B the bitchy team. They bitched on us for conferring. They got the bad karma and got Ireland wrong at the wrong moment. We tied. They got the first Boni, we got the second and third. WIN! 3-4

Ok now EPIC FAILS:

1. ME in general… (0.12 is even worse than last time)

2. ENTIRE PARTICIPANTS IN GAME 5… (I guess I actually have a Use now?)

3. Moderator: This last imperial Dynasty in China. Raymond: Ming. … FAIL

4. …This 7th president also known as Old Hickory. Raymond: Um…. Fillmore (EPIC FAIL… YOu had enough time to start listing the Presidents)

5. THIS IS WHEN THE 7TH LOST TO THE 6TH President. Raymond: 1860 (Pre-CIVIL WAR? Um seriously think… these are the worst ways you lost to the random team for)

6. …JOHN EDWARDS State… Raymond: Massachusetts (random guess), Opponent: Virginia. Me: EPIC FAIL GUYS… Me and Moderator at the same time: North Carolina. Heres the tip for the ones who at least knew he was a Caroliner (watch the Bush v. Kerry Campaigns). Ok So there is TWO Carolinas, North and South. If you hear any hippy jokes or read anything about South Carolina, SC is described as Hippyish and yeah… So a Lawyer such as Edwards wouldn’t be there. Also North Carolina is well… go look it up and you’ll see why Edwards is There.

7.  Much more Funny Fails…

8. Last Fail of the Day: place that us Failed to take in 1775. (Geo references in the beginning) ME: AHHHHHHH HEADDESK (Begs team to buzz quietly) The Epic Girl who now thinks that i have some problem or something (seriously I was Pretty Pissed of how they were answering to the easiest questions ever.) buzzes and QUEBEC. Me: Duh… Good Game| Meanwhile Moderator says: Correct.

Overall Summary: Today sucked. YJ had 8 buzzer races with his teams. For each of the time he lost he had the right answer in mind. But for the three that he actually won, he negged. Me: I failed. Audrey: Got less than before… or basically she has less than 1.0 questions per packet. Wesley: Failed a bit more this time than last time… but he was subbed out this time so his PPTH is better now (oh great he robbed my questions I have none now…) . Leah: Didn’t Do so well Either.

 

FINAL WORD: MODS REALLY SUCKED…. THEY TOOK AWAY MY ANSWER… (Oh well one question isn’t anything anyways… But seriously… without that game i only played in like 2.5 games… WTF)


CH 5. Pretest Study Guide

November 10, 2009

5.1 Writing Indirect Proofs:

  • Assume the Opposite To What You Are Proving
  • Write a Chain of Reasons Until You Reach  an Impossibility Statement or One that Contradicts a Given
  • Then Just State the Remaining Possibility
  • Ex.5.
    G: Angle 1 is Congruent To Angle Two; ABCD is not a Parallellogram
    P: Angle Three is Congruent To Angle Four
    Assume that Angle Three is Congruent to Angle Four. Then Line AB is Parallel To Line DC due to the If Alt. Int. Angles Congruent->Parallel Lines Theorum. Since Angle 1 And Angle 2 are Given to be Congruent,  Then AD would be parallel to BC due to the If Alt. Int. Angles Congruent->Parallel Lines Theorem. THis would make ABCD a Parallelogram, which Contradicts the Given. THus the Assumption was Wrong And Angle Three is NOT congruent to Angle Four.

5.2 Proving That Lines Are Parallel

  • Exterior Angles > A Remote Interior Angle
  • Ex. 3. Write an Inequality Stating the Restrictions on x.
    (Diagram Shown with (x+50) as exterior angle and 3x as one interior angle
    x+50>3x
    2x<50
    x<25
  • Ways of Proving Lines Parallel:
  1. Alt. Int. Angles Congruent
  2. Alt. Ext. Angles Congruent
  3. Corresponding Angles Congruent
  4. Same Side Exterior Supplementary to Each Other
  5. Same Side Interior Supplementary to Each Other
  6. Two Co-planar Lines are Perpendicular to a Third Line
  • Ex. 7.
    A. M is Parallel to P (Same Side Interior Supplementary to Each Other)
    B. M is NOT Parallel to P (Same Side Exterior {Should Be} Supplementary to Each Other)
    C. x+40=3x
    2x=40
    x=20
    3x=60
    180-60=120
    M is Parallel to P (Corresponding Angles Congruent)

5.3  Congruent Angles Associated With Parallel Lines

  • Parallel Lines:
  1. Through a Point not on a Line, There is Exactly One Parallel to the Given Line
  2. If two parallel lines are cut by a transversal then any pair of angles are either congruent or supplementary
  • Six Theorems of Parallel Lines
  1. Parallel Lines-> alt. Ext. Angles Congruent
  2. Parallel Lines-> Corresponding Angles Congruent
  3. Parallel Lines-> Same Side Int. Angles Supp.
  4. Parallel Lines-> Same Side Ext. Angles Supp.
  5. In a Plane, if a Line is Perpendicular to One of Two Parallel Lines, it is Perpendicular to the Other.
  6. If Two Lines are Parallel to a Third Line, they are Parallel to Each Other.

5.4 Four-Sided Polygons

  • Polygons are Plane Figures
  • Convex Polygon=polygon with NO Angle Greater Than 180 Degrees
  • Diagonals are a Segment that Joins Two Nonconsecutive Vertices of the Polygon
  • Quadrilaterals (four sided shapes)
  1. Parallelogram-opposite sides are parallel
  2. Rectangle-Parallelogram with one right angle
  3. Rhombus- Parallelogram with Two Consecutive Sides Congruent
  4. Kite- Quadrilateral with two Disjoint Pairs of Consecutive sides are Congruent
  5. Square- Parallelogram that is Both a Square and a Rhombus
  6. Trapezoid- Quadrilateral with exactly one pair of Parallel Sides (also called Bases)
  7. Isosceles Trapezoid- Trapezoid in which the Nonparallel Sides are Congruent
  • Crook Problem: Ex. 25
    Draw Line Across Angle X and 50 Degree Angle
    Due to Alt. Int. Angles Congruent the Lower Part of 50 Degrees is 20 Degrees and the Higher Part is 30 Degrees. Then Due to the Alt. Int. Angles Congruent, the lower part of X is 30 Degrees. Alt. Int. Angles Congruent concludes that 140 degrees is the angle that supp. the upper half of x, which makes x 40. 40+30 is 70 so x=70.

5.5 Properties of Quadrilaterals

  1. Parallelogram
    a. Opposite Sides are Parallel
    b. Opposite Sides are Congruent
    c. Opposite Angles are Congruent
    d. Diagonals Bisect Each Other
    e. Consecutive Angles are Supplementary
  2. Rectangle
    a. All Properties of a Parallelogram is True for a Rectangle
    b. All Angles are Right Angles
    c. Diagonals are Congruent
  3. Kites
    a.Two Disjoint Pairs of Consecutive Sides are Congruent
    b. Diagonals are Perpendicular
    c. One diagonal Perpendicularly Bisects the other
    d. One of the Diagonals Bisects a Pair of Opposite Angles
    e. One Pair of Opposite Angles are Congruent
  4. Rhombus
    a. All Properties of Parallelograms are True
    b. All Properties of Kites are True
    c. All Sides are Congruent
    d. Diagonals Bisects Angles
    e. Diagonals are Perpendicular Bisectors of each other
    f. Diagonals divide it to 4 Congruent Right Triangles
  5. Square
    a. All Properties of Rectangles are True
    b. All Properties of Rhombus are True
    c. The Diagonals form 4 Congruent Isosceles Right Triangles (45-45-90)
  6. Isosceles Trapezoid
    a. Legs are Congruent
    b. Bases are Parallel
    c. Lower base angles are Congruent
    d. Upper Base angles are Congruent
    e. Diagonals are Congruent
    f. Lower Base Angles are Supp. to Upper Base Angles

5.6 Proving that a Quadrilateral is a Parallelogram

  1. If both Pairs of Opposite Angles Congruent -> Figure is Parallelogram
  2. If Both Pairs of Opposite Sides are Congruent -> Figure is Parallelogram
  3. If Both Pairs of Opposite Sides are Parallel -> Figure is Parallelogram
  4. If a Pair of Opposite Sides are Congruent and Parallel -> Figure is Parallelogram
  5. If a Quadrilateral’s diagonals bisect each other -> Figure is Parallelogram

5.7 Proving Figures are Special Quadrilaterals

  1. Rectangle
    a. If a Parallelogram has one Right Angle -> Figure is Rectangle
    b. If the diagonals of a Parallelogram are Congruent -> Figure is Rectangle
    c. If Four Angles of a Quadrilateral are Equal -> Figure is Rectangle
  2. Kite
    a. Two pairs of consecutive Sides of a Quadrilateral are Congruent -> Figure is Kite
    b. If one of the Diagonals Perpendicularly Bisects the other -> Figure is Kite
  3. Rhombus
    a. If a Parallelogram Contains Congruent Consecutive Sides -> Figure is Rhombus
    b. If either Diagonal of a Parallelogram bisects two angles of the Parelogram -> Figure is Rhombus
    c. If the diagonals are Perpendicular Bisectors of Each other -> Figure is Rhombus
  4. Square
    a. If a Quadrilateral is both a Square and a Rhombus-> Figure is Square
  5. Isosceles Trapezoid
    a. If non-parallel sides of a trapezoid congruent -> Figure is Isosceles Trapezoid
    b. If the Lower or Upper base Angles are Congruent -> Figure is Isosceles Trapezoid
    c. If the Diagonals of a Trapezoid are Congruent -> Figure is Isosceles Trapezoid

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