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Geometry.Campo-4#
Properties and Postulates (Proof)
| Question | Answer |
|---|---|
| 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 times C = B times C |
| Division Property of equality | If A=B, then a/c = b/c (C can not equal zero in this property) |
| Distributive property | If a(b+c), then a(b+c) = ab+ac |
| Substitution Property | If A=B, then A may be replaced by B in any expression or equation |
| Reflexive property | For any real number, a=a (Values that are the same will always equal themselves) |
| Symmetric property | If A=B, then B=A |
| Transitive property | If A=B, and B=C, then A=C |
| Reflexive property of congruence | For any segment AB, line A to B is congruent to line A to B. |
| Transitive property of congruence | If line A to B is equal to line C to D and line C to D is equal to line E to F, then line A to B is equal to line E to F |
| Symmetric property | If line A to B is congruent to line C to D, then line C to D is equal to A to B. |
| Segment Addition Postulate | If A, B and C are colinear points and B is between A and C, then line AB + line BC = line AC |
| Angle Addition Postulate | (m <-Measure, of a ∠ <- this is Angle) If m∠ABD + m∠DBC = m∠ABC |
| (Unit 5) *Bisectors in triangles* Property of Perpendicular Bisectors | Perpendicular bisectors intersect at the circumcenter. |
| Property of Angle Bisectors | Angle Bisectors intersect at the incenter. |
Created by:
PaigeRyals-9th
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