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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.