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# Geometry Proofs

### Names of Properties and Proofs

TermDefinition
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