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GR + RE = GE

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Segment Addition Postulate

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If R is the midpoint of GE, then RE = ½ GE. __

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Midpoint Theorem

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If RA RD, then ARD is a right angle.

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Def. of Perpendicular Lines

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If GRC is supplementary to ARC, and DRF is supplementary to ARC, then GRC DRF.

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Congruent Supplements Theorem

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GRB ERF

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Vertical Angles Are Congruent.

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If RC bisects BRD, then m BRC = ½ m BRD.

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Angle Bisector Theorem

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m GRA + m ARC = m GRC.

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Angle Addition Postulate

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If BF GE, then GRB BRE.

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If two lines are perpendicular, then they form congruent adjacent angles.

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If m ERD + m CRA = 90, then those angles are complementary.

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Definition of Complementary Angles

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If BR RF, then R is the midpoint of BF. __

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Definition of Midpoint

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If RB RE, then BRC is complementary to CRE.

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

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If GRA is supplementary to FRD, then m GRA + m FRD = 180.

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Definition of Supplementary Angles

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If R is the midpoint of GE, then FB bisects GE. __

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Definition of Segment Bisector

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If BRE ERF, then EG FB.

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If two lines form congruent adjacent angles, then the lines are perpendicular.

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m ARB + m BRC = m ARC

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Angle Addition Postulate

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If BR RF, then R is the midpoint of BF. __

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Definition of Midpoint

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If m ARD = 90, then ARD is a right angle.

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Definition of Right Angle

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If ARD is a right angle, then RA RD.

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Definition of Perpendicular Lines

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If FB GE, then BRE ERF.

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If two lines are perpendicular, then they form congruent adjacent angles.

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If ARB is complementary to BRD, and DRE is complementary to BRD, then ARB DRE.

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Congruent Complements Theorem

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If RC bisects BRD, then BRC CRD.

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Definition of Angle Bisector

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m GRC + m CRE = 180

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Linear Pair Postulate

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If BRG BRE, then BR GE.

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If two lines form congruent adjacent angles, then the lines are perpendicular.

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FR + RB = FB

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Segment Addition Postulate

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If RB RE, then BRD and DRE are complementary.

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

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3.2 Proof and Perpendicular Lines

3.2 Proof and Perpendicular Lines

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