1. Math Presentation By: [CLASSIFIED] (Not David)

2. Introduction This presentation is all about angles. In this presentation you shall learn about: definitions, proofs , postulates, theorems, and supplementary angles.

3. Definitions Angle: a pair of rays that share a common vertex. Circle: a figure where all the points in the boundary are the same distance from the center. Perpendicular line: a pair of lines where the point of intersection makes a right angle. Parallel: a pair of lines that never intersect and are always the exact same distance from each other. Line segment: a line with two endpoints.

4. Theorems Vertical angles are congruent. Alternate interior angles are congruent. Corresponding angles are congruent. Points on a perpendicular bisector of a line segment are exactly those equidistant from the segments endpoint.

5. Postulates Angle measure postulate: you can match every angle with a number between 1 and 180. Angle addition postulate Linear-> supplementary, aka, a linear pair is the same thing as a supplementary angle

6. INTERMISSION LETS ALL GO HAVE A NERF WAR NOW BEFORE WE GO AND DO MORE MATHY STUFF!!!!!

7. Statement -------------------------------------------------------- <1 @ <3 are vertical angles <1 and <3 from a linear pair <2 and <3 form a linear pair <1 and <2 are supplementary <2 and <3 form a linear pair m<1+m<2=180 M<2+m<2=180 M<1=m<3 <1 ≅ <3 Reasons ------------------------------------------------------- Given Definition of linear pair Linear pair postulate Definition of supplementary angles Algebra Definition of congruent angles Proof #1: Vertical angles are congruent 1 2 3

8. Supplementary Angles Supplementary angles, definition: either of two angles whose sum is 180 degrees. Supplementary angle are an essential part of vertical angles A supplementary angle

9. Postulates about Supplementary Angles Postulate 5: A linear angle is the exact same thing as a supplementary angle.

10. History of Supplementary Angles I could not find any information on the history of supplementary angles. My best guess for the history of supplemental angles is that there was a caveman named Thog-og who, when drawing a stick figure on the wall of his cave realized that the angle of the dude’s arm in the stick drawing connected to the body in a 180 angle. He decided to name it a supplementary angle (Thog-og and his picture) 

11. Angles are everywhere There are angles all over the place, they are in books and math and star trek ships  wimpiness (and angles) 

13. JUST KIDDING!

14. Question 1: What is the total measure of a supplementary angle?: 1. 18 2. 180 3. 180,000,000,000 4. over 9 thousand!!!!! 5. none, they were all eaten by anacondoes That one is right

15. Question 2: What is the name of the caveman who may or may not have thought of the supplementary angles?: 1. Bob 2. Joey 3. Nicholas 4. Darth Vader 5. Thog-og the right one

16. Question 3: What is the vertical angle theorem?: 1. the vertex of a vertical angle is always in the middle 2. Vertical angles are congruent 3. pizza is good 4. the sum of a verticale angle is 360 degrees 5. vertical angles are annoying The most correct one

17. Question 4: What is the sum of two supplementary angles: 1. 0.18 2. 100000000000000000000000000000000x10^9000 3. pi 4. 360 5. -∞ The right answer

18. Question 5: what is the sum of a complementary angle: 1. 1 2. 900 3. 90 4. a lot 5. the square root of a pizza This one should be correct This one actually is correct

19. Question 6: what is the difference between a complementary and a supplementary angle?: 1. nothing, they are the exact same thing 2. one so twice the size of the other 3. one is half the size of the other 4. one is more polite than the other 5. one is more mathy than the other They are all correct

20. Epic space battle! (and intermission)

21. Now back to the quiz Question 7: what is the postulate that states you can match every angle with a number between 1 and 180?: 1. the measure of pie postulate 2. the supplementary vitamin postulate 3. the angle congruence postulate 4. the radial congruence theorem 5. the angle measure postulate The correct one

22. Question 8: linear pair means the same thing as what?: 1. complementary angles 2. pizza 3. supplementary angles 4. a pair of lines 5. an anacondo The correct one

23. Conclusion (at last)

24. credits Apple Banana The world The air Math Nerf.com An anacondo PowerPoint Microsoft office The class website Me Mrs. Smith My classmates AACL: My Mom My sister Colorado springs My lunch Leonardo Da Vinci Another anacondo the playground Lucasfilm Star trek online And of course…

25. KITTIES!!!!!