Thursday, July 12, 2007

Geometry Chapter 1.6 Angle Pair Relationships

Geometry Chapter 1.6 Angle Pair Relationships

I) Vocabulary

A) Vertical Angles: is when the sides of 2 angles form 2 pairs of opposite rays.
1. Vertical angles are congruent.

B) Linear Pair: 2 adjacent angles are a linear pair if their noncommon sides are opposite rays.
1. If two angles form a linear pair, then they are supplementary.
2. If two angles form a linear pair, then their sum is 180 degrees.

C) Complementary Angles: 2 angles whose measures total 90 degrees.
1. If two angles have the same complement, then the 2 angles are congruent.
2. If two angles are complementary to congruent angles, then the two angles are congruent.

D) Supplementary Angles: 2 angles whose measures total 180 degrees.
1. If two angles have the same supplement, then the 2 angles are supplementary.
2. If two angles are supplementary to congruent angles, then the two angles are supplementary.