Chapter 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

Answer 2

two adjacent angles are a linear pair if their non common sides are opposite rays.

Question 3

Complementary Angles

Answer 3

two angles are complementary if the sum of their measures is 90. Each angle is a complement of the other.

Question 4

Supplementary Angles

Answer 4

two angles are supplementary if the sum of their measures is 180. Each angle is a supplement of the other.

Question 5

Postulate 11 - Linear Pair Postulate

Answer 5

if two angles form a linear pair, then they are supplementary, ie., the sum of their measures is 180.

Question 6

Thm 2.1 - Congruent Supplements Theorem

Answer 6

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

Question 7

Thm 2.2 - Congruent Complements Theorem

Answer 7

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

Question 8

Thm 2.3 - Vertical Angles Theorem

Answer 8

if two angles are vertical angles, then they are congruent.