Math PresentationBy: [CLASSIFIED] (Not David)

IntroductionThis presentation is all about angles.

In this presentation you shall learn about: definitions, proofs, postulates, theorems, and supplementary angles.

DefinitionsAngle: 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.

TheoremsVertical 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.

PostulatesAngle 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

INTERMISSIONLETS ALL GO HAVE A NERF WAR NOW BEFORE WE GO AND DO MORE MATHY STUFF!!!!!

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=180M<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

23

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

Postulates about Supplementary

AnglesPostulate 5: A linear angle is the exact same thing as a supplementary angle.

History of Supplementary

AnglesI 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)

Angles are everywhere

There are angles all over the place, they are in books and math and star trek ships

wimpiness(and angles)

A Pop Quiz

JUST KIDDING!

NOT REALLY!!! Question 1: What is the total measure of a supplementary angle?:

1. 182. 1803. 180,000,000,0004. over 9 thousand!!!!!5. none, they were all eaten by anacondoesThat one is right

Question 2: What is the name of the caveman who may or may not have thought of the supplementary angles?:

1. Bob2. Joey3. Nicholas4. Darth Vader5. Thog-og

Question 3: What is the vertical angle theorem?:

1. the vertex of a vertical angle is always in the middle2. Vertical angles are congruent3. pizza is good4. the sum of a verticale angle is 360 degrees5. vertical angles are annoying

Question 4: What is the sum of two supplementary angles:

1. 0.182. 100000000000000000000000000000000x10^90003. pi4. 3605. -∞

Question 5: what is the sum of a complementary angle:

1. 12. 9003. 904. a lot5. the square root of a pizza

Question 6: what is the difference between a complementary and a supplementary angle?:

1. nothing, they are the exact same thing2. one so twice the size of the other3. one is half the size of the other4. one is more polite than the other5. one is more mathy than the other

Epic space battle! (and intermission)

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 postulate2. the supplementary vitamin postulate3. the angle congruence postulate4. the radial congruence theorem5. the angle measure postulate

The correct one

Question 8: linear pair means the same thing as what?:

1. complementary angles2. pizza3. supplementary angles4. a pair of lines5. an anacondo

Conclusion (at last)

In conclusion, angles are actually quite fun to make presentations about.

I learned a lot and had a great time.

And I made an interesting presentation full of math. and lasers.

Thank for watching.

credits

KITTIES!!!!!