Postulates, Theorums, and Definitions
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| Segment Addition Postulate | If B is between A and C, the AB+BC=AC
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| Angle Addition Postulate | If ∠AOC is a straight angle and B is any point not on ray AC, the m∠AOB+m∠BOC=180
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| Addition Property | If a=b and c=d, then a+c=b+d
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| Subtraction Property | If a=b and c=d, then a-c=b-d
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| Multiplication Property | If a=b, then ca=cb
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| Division Property | If a=b and c≠0, then a/c=b/c
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| Substitution Property | If a=b then either a or b may be substituted for the other in any equation (or inequality)
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| Reflexive Property | a=a
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| Symmetric Property | If a=b then b=a
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| Transitive Property | if a=b and b=c, then a=c
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| Midpoint Theorem | If M is the midpoint of AB, then AM=1/2AB and MB=1/2AB
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| The Angle Bisector Theorem | If BX is the bisector of ∠ABC, then m∠ABX=1/2m∠ABC and m∠XBC=1/2m∠ABC
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| Vertical Angles Theorem | Vertical angles are congruent
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| Perpendicular to Congruent Theorem | If two lines are perpendicular, then they form congruent adjacent angles.
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| Congruent to Perpendicular Theorem | If two lines form congruent adjacent angles, then they are perpendicular.
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| Exterior with Perpendicular to Complimentary Theorem | If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary
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| Supplementary Theorem | If two angles are supplements of congruent angles (or the same angle), then the two angles are congruent
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| Complimentary Theorem | If two angles are compliments of congruent angles (or of the same angle), then the two angles are congruent
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Created by:
patrij16
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