Two angles are complementary if and only if the sum of their measures is 90
Def of Complementary Angles
Def of Right Angle:
If <C is a right angle, then m<C equals...
90 degrees
If two angles are vertical, then they are congruent
Vertical Angles Theorem
The measures of two angles are equal if and only if the angles are congruent
Def of Congruence
Def of Congruence:
If m<R = m<S then...
<R ~=~ <S
Linear Pair Theorem is also known as...
Supplement Theorem
Definition of Supplementary Angles
Two angles are complementary if and only if the sum of their measures in 180
Def of Supplementary Angles:
If <W and <X are supplementary, then...
m<W + m<X = 180 degrees
Complement Theorem
If two angles form a right angle, they they are complementary
Perpendicular lines form right angles
Def of Perpendicular
Linear Pair Theorem:
If <A and <B form a linear pair, then...
<A and <B are supplementary
Congruent Supplements Theorem
If two angles supplementary to the same angle, then are congruent
Definition of an Angle Bisector
An angle bisector divides a angle into two equal parts
Congruent Supplements Theorem:
If <X is supplementary to <Y and <X is supplementary to<Z, then..
<Y ~=~ <Z
Congruent Complements Theorem
If two angles complementary to the same angle, they are congruent