math presentation
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Math Presentation. By: [CLASSIFIED] (Not David). Introduction. This presentation is all about angles. In this presentation you shall learn about: definitions, proofs , postulates, theorems, and supplementary angles. Definitions. Angle: a pair of rays that share a common vertex. - PowerPoint PPT PresentationTRANSCRIPT
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!!!!!