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18 Cards in this Set
- Front
- Back
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addition property of equality |
if a=b, then a+c=b+c |
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subtraction property of equality |
if a=b, then a-c=b-c |
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multiplication property of equality |
if a=b, then ac=bc |
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division property of equality |
if a=b, then a/c=b/c |
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substitution property of eqality |
if a=b, then 'a' can be substituted for 'b' in any equation or expression. **'b's are stacked. *example a=b c=b a=c |
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distributive property |
a(b+c)=ab+ac, where a, b, and c are real numbers. |
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reflexive property of equality |
real numbers: a=a segment length: AB=AB angle measure: m<A=m<A *reflexive means "back on itself" |
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symmetric property of equality |
real numbers: for any real number a and b, if a=b, then b=a segment length: for any segment AB and CD, if AB=CD, then CD=AB angle measure: for any angle A and B, if m<A=m<B, then m<B=m<A |
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transitive property of equality |
real numbers: for any real number, a, b, and c, if a=b and b=c, then a=c segment length: for any segment AB=CD and CD=EF, ten AB=EF angle measure: for any angle A, B, and C, if m<A=m<B and m<B =m<C, then m<A=m<C. ** B's are diagonal. Example: a=b b=c a=c |
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proof |
a logical argument that shows a statement is true. |
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theorem |
a statement that can be proven. |
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congruence of segments |
segment congruence is reflexive, symmetric, and transitive. (see 2.6 Day 1 notes for more information) |
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congruence of angles |
angle congruence is reflexive, symmetric, and transitive. (see 2.6 Day 1 notes for more information). |
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theorem 2.3 right angles congruence theorem |
all right angles are congruent |
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theorem 2.4 congruent supplements theorem |
if two angles are supplementary to the same angle (or to congruent angles), then they are congruent. (see 2.7 notes for more information) |
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theorem 2.5 congruent complements theorem |
if two angles are complementary to the same angle (or to congruent angles), then they are congruent. (see 2.7 notes for more information) |
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postulate 12 linear pair postulate |
if two angles form a linear pair, then they are supplementary. (see 2.7 notes for more information) |
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theorem 2.6 vertical angles congruence theorem |
vertical angles are congruent |
