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If two quantities are equal, then you may replace one with the other in an expression or equation
Angle Bisector Theorem
If BX(arrow pointing >) is the bisector of Angle ABC, then mAngle ABX=1/2 mAngle ABC and mAngle XBC = 1/2 mAngle ABC
(Perpendicular Implies Congruence Theorem)
If two lines are perpendicular, then they form congruent adjacent angles
(Congruence Implies Perpendicular Theorem)
If two lines form congruent adjacent angles, then they are perpendicular
(Split Perpendicular Theorem)
If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary
(Supplements of Congruent Angles Theorem)
If two angles are supplements of congruent angles (or of the same angle), then the two angles are congruent
(Complements to Congruent Angles Theorem)
If two angles are complements of congruent angles (or of the same angle), then the two angles are congruent
two angles such that the sides of one angle are opposite rays to the sides of the other angles
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