if point B lies in the interior of <AOC then m<AOB+m<BOC=m<AOC
for any angle, the measure of the whole is equal to the sum of the measures of its non-overlapping parts
Back
Reflexive Property of Equality
Front
For any real number a, a=a
Back
Transitive Property of Equality
Front
If a=b and b=c, then a=c
Back
Linear Pair Postulate
Front
If 2 angles form a linear pair, then they are supplementary
Back
m<4+ m<5= 90
m<6+ m<5= 90
therefore, m<4=m<6
Front
congruent complements theorem
Back
Angle Bisector Theorem
Front
If a point is on the bisector of an angle, then the point is equidistant from the sides of the angle.
Back
m<4+ m<5= 180
m<6+ m<5= 180
therefore, m<4=m<6
Front
congruent supplements theorem
Back
Congruent Complements Theorem
Front
If two angles are complementary to the same angle (or to congruent angles), then they are congruent.
Back
Congruent Supplements Theorem
Front
If two angles are supplementary to the same angle (or to congruent angles), then they are congruent.
Back
Midpoint Theorem
Front
If M is the midpoint of AB, then AM is congruent to MB