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Level 168

Properties for Proofs


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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
a=a
Reflexive Property of Equality
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 of Equality
If a=b, then b can replace a in any expression
(a+b)+c=a+(b+c)
Associative Property of Addition/Multiplication
a+b=b+c
Commutative Property of Addition/Multiplication
a(b+c)=ab+bc
Distributive Property
a•1/a=1
Multiplicative Inverse Property
a+(-a)=0
Additive Inverse Property
Reflexive Property of Congruence
segment AB ≅ segment AB
Symmetric Property of Congruence
If segment AB ≅ segment CD, then segment CD ≅ segment AB
transitive property of congruence
If segment AB ≅ segment CD and segment CD ≅ EF, then segment AB ≅ segment EF
Angle Addition Postulate
If point B is in the interior of ∠AOC, then m∠AOB+m∠BOC=m∠AOC
Segment Addition Postulate
If three points A, B, and C are collinear and B is between A and C, then AB+BC=AC
Definition of Congruence
If segment AB ≅ segment CD, then AB=CD
Definition of Right Angle
The measure of a right angle is 90°
Definition of supplementary
Supplementary angles have measures that add up to 180°
Definition of complementary
Complementary angles have measure that add up to 90°