Chapter 2 Flashcards
(17 cards)
Addition Property of Equality
If a = b, then a + c = b + c
Subtraction Property of Equality
If a = b, then a - c = b - c
Multiplication Property of Equality
If a = b, then a • c = b • c
Division Property of Equality
If a = b and c does not = 0, then a/c = b/c
Substitution Property of Equality
If a = b, then b can replace a in any expression
Reflexive Property
a = a
Symmetric Property
If a = b, then b = a
Transitive Property
If a = b and b = c, then a = c
Distributive Property
a(b + c) = ab + ac
Reflexive Property of Congruence
Do NOT copy this statement, follow it:
State with symbols that segment AB is congruent to segment AB and angle A is congruent to angle A
Symmetric Property of Congruence
Do NOT copy this statement, follow it:
State with symbols that if segment AB is congruent to segment CD, then segment CD is congruent to segment AB and if the measure of angle A is congruent to the measure of angle B, then the measure of angle B is congruent to the measure of angle A
Transitive Property of Congruence
Do NOT copy this statement, follow it:
State with symbols that:
if segment AB is congruent to segment CD and segment CD is congruent to segment EF,
then segment AB is congruent to segment EF
Vertical Angles Theorem
Vertical angles are congruent
Congruent Supplements Theorem
If two angles are supplementary to the same angle or to congruent angles, then those two angles are congruent.
Congruent Complements Theorem
If two angles are complements of the same angle or of two congruent angles, then those two angles are congruent.
Theorem 2-5
If two angles are congruent and supplementary,
then each is a right angle
