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Geometry Proof Theorems
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Terms in this set (17)
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
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