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1 6 11 16 21 2 7 12 17 22 3 8 13 18 23 4 9 14 19 24 5 10 15 20 25 GR + RE = GE Segment Addition Postulate If__R is the midpoint of GE, then RE = ½ GE. Midpoint Theorem ↔ ↔ If RA RD, then ARD is a right angle. Def. of Perpendicular Lines If GRC is supplementary to ARC, and DRF is supplementary to ARC, then GRC DRF. Congruent Supplements Theorem GRB ERF Vertical Angles Are Congruent. → If RC bisects BRD, then mBRC = ½ mBRD. Angle Bisector Theorem mGRA + mARC = mGRC. Angle Addition Postulate ↔ ↔ If BF GE, then GRB BRE. If two lines are perpendicular, then they form congruent adjacent angles. If mERD + mCRA = 90, then those angles are complementary. Definition of Complementary Angles __ __ If BR RF, then __ R is the midpoint of BF. Definition of Midpoint → → If RB RE, then BRC is complementary to CRE. If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary. If GRA is supplementary to FRD, then mGRA + mFRD = 180. Definition of Supplementary Angles __ If R is the midpoint __ of GE, ↔ then FB bisects GE. Definition of Segment Bisector If BRE ERF, then ↔ ↔ EG FB. If two lines form congruent adjacent angles, then the lines are perpendicular. mARB + mBRC = mARC Angle Addition Postulate __ __ If BR RF, then __ R is the midpoint of BF. Definition of Midpoint If mARD = 90, then ARD is a right angle. Definition of Right Angle If ARD is a right angle, → → then RA RD. Definition of Perpendicular Lines ↔ ↔ If FB GE, then BRE ERF. If two lines are perpendicular, then they form congruent adjacent angles. If ARB is complementary to BRD, and DRE is complementary to BRD, then ARB DRE. Congruent Complements Theorem → If RC bisects BRD, then BRC CRD. Definition of Angle Bisector mGRC + mCRE = 180 Linear Pair Postulate If BRG BRE, then ↔ ↔ BR GE. If two lines form congruent adjacent angles, then the lines are perpendicular. FR + RB = FB Segment Addition Postulate → → If RB RE, then BRD and DRE are complementary. If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary.