Chapter 2 Postulates/Theorems

Question 1

Two Point Postulate

Answer 1

Through any two points, there exists exactly one line

Question 2

Line-Point Postulate

Answer 2

A line contains at least two points

Question 3

Line Intersection Postulate

Answer 3

If two lines intersect, then their intersection is exactly one point

Question 4

Three Point Postulate

Answer 4

Through any noncollinear points, there exists exactly one plane

Question 5

Plane-Point Postulate

Answer 5

A plane contains at least three noncollinear points

Question 6

Plane-Line Postulate

Answer 6

If two points lie in a plane, then the line containing them lies in the plane

Question 7

Right Angles Congruence Theorem

Answer 7

All right angles are congruent

This is the dumbest freaking theorem, 90°=90° should be reflexive property, or at the very fucking least it should be a postulate. Love how me ranting about the “theorem” is longer than the definition of the “theorem”

Question 8

Congruent Supplements Theorem

Answer 8

If two angles are supplementary to the same angle (or to congruent angles), then they are congruent

Question 9

Congruent Complements Theorem

Answer 9

If two angles are complementary to the same angle (or to congruent angles), then they are congruent

Question 10

Linear Pair Postulate

Answer 10

If two angles form a linear pair, then they are supplementary

Question 11

Vertical Angles Congruence Theorem

Answer 11

Vertical angles are congruent