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postulates/theorems
Math CH 2
| Term | Definition |
|---|---|
| a=b a=d a+c=b+d | addition property |
| a=b a=d a-c=b-d | subtraction property |
| a=b a=d axc=bxd | multiplication property |
| a=b a=d a/c=b/d | division property |
| a=b c+d=a --> c+d=b | substitution |
| a=a | reflexive |
| a=b, b=a | symmetric property |
| if a=b and b=a, then a=c | transitive |
| a(b+c)=ab+ac | distributive property |
| if B is midpoint of AC, AB=BC | definition of midpoint |
| if XY bisects AB, the X/Y is midpoint of AB | Definition of Segment Bisector |
| if BX bisects <ABC, then <ABX=<XBC | definition of angle bisector |
| if M is midpoint of AB, then AM=1/2AB and MB=1/2AB | midpoint theorem |
| if BX bisects <ABC, then <ABX=1/2<ABC and <XBC=1/2<ABC | angle bisector theorem |
| If 2 lines intersect, the opposite angles are = | verticle angles are = |
| if AB is perp. to CD, <1=90 | definition of perpendicular lines |
| AB is perp to CD, <1=<2 | if two line are perpendicular, then they form congruent adjacent angles |
| <1=<2, AB is perp to CD | if two line form congruent adjacent angles, the lines are perpendicular |
| if AO is perp to OC, <AOB and <BOC are complementary | if exterior sides of two adjacent angles are perpendicular, then angles are complementary/90 |
| if two angles are supplements of congruent angles/same angle, then two angles are congruent | congruent supplements theorem |
| if two angles are complements of congruent angles/same angle, then two angles are congruent | congruent complements theorem |
Created by:
nicole.e