Chapter 2 Theorems and Postulates

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Midpoint Theorem

If M is the midpoint of AB, then AM= 1/2AB, and MB= 1/2AB

Angle Bisector Theorem

If BX is bisector of <ABC, then m<ABX=1/2m<ABC and m<XBC=1/2m<ABC

Complementary Angles

angles whose measures equals 90 Degrees

Supplementary Angles

Angles whose measures equals 180 Degrees

Vertical Angles are

Congruent

If two lines are perpendicular,

then they form congruent, adjacent angles

If two lines form congruent, adjacent angles

They are perpendicular

If the exterior sides of two adjacent acute angles are perpendicular,

then the angles are complementary

If two angles are supplements/compliments of congruent angles (or of the same angle),

then they are congruent to eachother

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