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Geometry Reasons for Proofs
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Terms in this set (23)
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 and c doesn't equal 0, then a/c=b/c
Substitution Property of Equality
If a=b, then b can be substituted for a in any equation (ex: 2x+3x=25
5x=25)
Distributive Property of Equality
a(b+c)<—>ab+ac
Reflexive Property of Equality
For any real number a, a=a (exactly the same on both sides ex:7x+4=7x+4)
Symmetric Property of Equality
If a=b, then b=a [equal sign flips ex:if 9(2)=18, then 18=9(2)]
Transitive Property of Equality
If a=b and b=c, then a=c
Commutative Property
a+b=b+a(numbers flip spots)
Associative Property
a+(b+c)=(a+b)+c
Zero Product Property
0(a)=0
Multiplicative Identity
a(1)=a
Multiplicative Inverse Property
1/2(2/1)=1 [multiplying reciprocals]
Additive Identity
a+0=a
Segment Addition Postulate
If point B is between A and C, then AB+BC=AC
Midpoint of a segment
The point that divides the segment into 2 congruent segments
Segment bisector
A point, ray, line, line segment, or plane that intersects the segment at its midpoint
Complementary angles
2 angles whose measures up to 90 degrees
Supplementary angles
2 angles who's measures add up to 180 degrees
Adjacent angles
Angles that share a common vertex and common side, but have no interior points in common
Linear pair postulate
Linear pairs are always supplementary(180°)
Vertical angles(vertical angles theorem)
Opposite angles that are formed by a pair of intersecting lines(vertical angles are congruent)
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