2.6 Deductive Reasoning

Question 1

Vertical Angles

Answer 1

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

Question 2

Linear Pair

Answer 2

Adjacent Angles form a linear pair if their noncommon sides are opposite rays

Question 3

Complementary Angles

Answer 3

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

Question 4

Supplementary Angles

Answer 4

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

Question 5

Linear Pair Postulate

Answer 5

If two angles are a linear pair, then they are supplementary (i.e. the sum of their measures is 180 degrees)

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