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Geometry Proofs
Names of Properties and Proofs
| Term | Definition |
|---|---|
| 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 then A/C=B/C |
| Reflexive Property of Equality | A=A |
| Symmetric Property of Equality | If A=B then B=A |
| Transitive Property of Equality | If A=B and B=C, then A=C |
| Substitution Property | If A=B then B can replace A |
| Distributive Property | A(B+C)=AB+AC |
| Inductive Reasoning | Reasoning based on observed patterns |
| Conjecture | A conclusion you reach from inductive reasoning |
| Deductive Reasoning | Reasoning logically from given statements or facts to a conclusion |
| Segment Addition Postulate | AB+BC=AC |
| Angle Addition Postulate | M<AOB+M<BOC=M<AOC |
| Vertical Angles Theorem | Vertical Angles are always congruent |
| Midpoint Theorem | If M is the midpoint of line AB then line AM is congruent to line AB |
| Congruent Complements Theorem | If <1 and <2 are complements and <2 and <3 are complements, then <1 is congruent to <3 |
| Congruent Supplements Theorem | If <1 and <2 are supplements and <2 and <3 are supplements, then <1 is congruent to <3 |
| Definition of Congruence | Line AM is congruent to line MB then AM is congruent to MB |
| Definition of.... | Used to prove something. (Example: Definition of Linear Pair) |
| All Right Angles are Congruent | A 90 degree angle is congruent to a 90 degree angle |
Created by:
alixrainsbury
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