2.6 Deductive Reasoning

Question 1

Vertical Angles

Answer 1

Two angles are vertical if their sides form two pairs of opposite rays

Question 2

Linear Pair of Angles

Answer 2

Two adjacent angles are a linear pair if their noncommon sides are opposite rays

Question 3

Complementary Angles

Answer 3

Two angles are complementary if the sum of their measures is 90 degrees

Question 4

Supplementary Angles

Answer 4

Two angles are supplementary if the sum of their measures is 180 degrees.

Question 5

Linear Pair Postulate

Answer 5

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

Question 6

Congruent Supplements Theorem

Answer 6

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

Question 7

Congruent Complements Theorem

Answer 7

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

Question 8

Vertical Angles Theorem

Answer 8

If two angles are vertical angles, then they are congruent