17 terms

Right Angle Congruence Theorem

If two angles are right angles, then they are congruent

Straight angle theorem

If two angles are straight angles, then they are congruent

complementary angles theorem

If two adjacent angles form a right angle, then they are complementary

Linear Pair Theorem

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

Congruent Complements Theorem

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

Congruent Supplements Theorem

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

Congruent angle/congruent complement theorem

If two angles are congruent, then their complements are congruent

Congruent angle/congruent supplement theorem

If two angles are congruent, then their supplements are congruent

Congruent Addition Property

If congruent segments are added to congruent segments, then their sums are congruent

Addition Property

If a segment is added to two congruent segments, then their sums are congruent

Subtraction Property

Is an angle is subtracted from to congruent angles, then the differences are congruent

Congruent subtraction property

If congruent segments are subtracted from congruent segments, then their differences are congruent

Multiplication Property

Doubles/thirds of congruent segments are congruent

Division Property

Halves/thirds of congruent angles are congruent

Transitive Property

If angles/segments are congruent to the same angle/segment, then they are congruent to each other (Caitlyn, Sydney, Lucas)

Substitution Property

A value may be substituted for its equal in any equation

Vertical angles theorem

If two angles are vertical angles, then they are congruent