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