Unit 2 Proofs

Question 1

Through any two points, there exists exactly one line.

Answer 1

Two Point Postulate

Question 2

A line contains at least two points.

Answer 2

Line-Point Postulate

Question 3

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

Answer 3

Line Intersection Postulste

Question 4

Through any three noncollinear points, there exists exactly one plane.

Answer 4

Three Point Postulate

Question 5

A plane contains at least three noncollinear points.

Answer 5

Plane-Point Postulate

Question 6

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

Answer 6

Plane-Line Postulate

Question 7

If two planes intersect, then their intersection is a line.

Answer 7

Plane Intersection Postulate

Question 8

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

Answer 8

Linear Pair Postulate

Question 9

For any segment AB, line AB is congruent to line AB.

Answer 9

Reflexive Property of Segment Congruence

Question 10

If line AB is congruent to line CD, then line CD is congruent to line AB.

Answer 10

Symmetric Property of Segment Congruence

Question 11

If line AB is congruent to line CD and line CD is congruent to line EF, then line AB is congruent to line EF.

Answer 11

Transitive Property of Segment Congruence

Question 12

All right angles are congruent.

Answer 12

Right Angles Congruence Theorem

Question 13

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

Answer 13

Congruent Supplements Theorem

Question 14

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

Answer 14

Congruent Complements Theorem

Question 15

Verticle angles are congruent.

Answer 15

Verticle Angles Congruence Theorem