| A | B |
|---|
| Properties of Equality | Reflexive; Symmetric; Transitive; Addition and Subtraction Properties; Multiplication and Division Properties; Substitution Property; Distributive Property |
| Reflexive | For every number a, a = a |
| Symmetric | If a = b, then b = a |
| Transitive | If a = b and b = c, then a = c |
| Addition and Subtraction Properties | If a = b, then a + c = b + c or , a – c = b – c |
| Multiplication and Division Properties | If a = b, then a ∙ c = b ∙ c or a/b = b/c |
| Substitution Property | If a = b, a can be replaced with b. |
| Distributive Property | a(b + c) = ab + ac |
| Reflexive used with segment measures | AB = AB |
| Symmetric used with segment measures | AB=CD then CD=AB |
| Transitive used with segment measures | AB=CD, CD=EF Then AB=EF |
| Reflexive used with angle measures | Measure of Angle 1 = Measure of Angle 1 |
| Symmetric used with angle measures | Measure of Angle 1 = Measure of Angle 2, then Measure of Angle 2 = Measure of Angle 1 |
| Transitive used with angle measures | Measure of Angle 1 = Measure of Angle 1 , Measure of Angle 1 = Measure of Angle 2, then Measure of Angle 2 = Measure of Angle3. Then Measure of Angle 1 = Measure of Angle 3. |
| Proof | A convincing argument that uses deductive reasoning |
| Two- Column Proof | Lists each statement on the left and the reason for each statement on the right |
| Vertical Angles Theorem | Vertical angles are congruent |
| Congruent Supplement Theorem | Angles supplementary to the same angle or to congruent angles are congruent. |
| Congruent Complement Theorem | Angles complementary to the same angle or to congruent angles are congruent. |
| Right Angle Theorem | All right angles are congruent |
| two angles are congruent and supplementary | If two angles are congruent and supplementary, then each is a right angle. |
