Question | Answer |
A logical explanation using statements, postulates, definitions and theorems | Proof |
Any geometric idea we assume to be true. | Postulate |
Any geometric idea that can be proved. | Theorem |
If x = −4, then x + 4 = −4 + 4 | Addition Property of Equality |
If r + 1 = 7, then r + 1 − 1 = 7 − 1 | Subtraction Property of Equality |
If k/2 =8,then k/2(2)=8(2) | Multiplication Property of Equality |
15 = 15 | Reflexive Property |
If n = 2, then 2 = n | Symmetric Property |
If x = 7, then 2x = 2(7). | Substitution |
If a = b, then a + c= b + c. | Addition Property of Equality |
a(b + c) = ab + ac | Distributive Property |
If a = b, then a-c = b-c | Subtraction Property of Equality |
If a= b then ac = bc | Multiplication Property of Equality |
If a = b then a/c = b/c | Division Property of Equality |
a = a | Reflexive Property of Equality |
If a = b then b = a | Symmetric Property |
If a = b, then b can be substituted into any expression | Substitution |
If a = b and b = c then a = c | Transitive Property |
If x = a and a = y then a = y | Transitive Property |