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Proofs
proofs vocabulary
| Term | Definition |
|---|---|
| addition property | if a=b, then a+c=b+c |
| subtraction property | if a=b, then a-c=b-c |
| multiplication property | if a=c, then ac=bc |
| division property | if a=b, and c doesn't =0, then a/c=b/c |
| substitution property | if a=b, then B can replace A in any expression |
| distributive property | a(b+c)= ab+bc |
| reflexive property | a=a |
| symmetric property | if a=b, then b=a |
| transitive property | if a=b, and b=c, then a=c |
| reflexive(segment length) | for any segment AB, AB=AB |
| reflexive(angle measure) | for any angle A,m<A=m<A |
| symmetric(segment length) | if AB=CD, then CD=AB |
| symmetric(angle measure) | if m<A=m<B, then m<B=m<A |
| transitive(segment length) | if AB=CD and CD=EF, then AB=EF |
| transitive(angle measure) | if m<A=m<B and m<B=m<C, then m<A=m<C |