Geometry Postulates and Theorems

Front

If E is the midpoint of AF, then AE = ½ AF.

Back

Midpoint Theorem

Front

If E is the midpoint of AF, then AE ≅ EF.

Back

Definition of Midpoint

Front

AE + EF = AF

Back

Segment Addition Postulate

Front

m∠AEB + m∠BEF = 180

Back

Angle Addition Postulate

Front

m∠AEB + m∠BEC = m∠AEC

Back

Angle Addition Postulate

Front

If E is the midpoint of AF, then ray EC bisects AF.

Back

Definition of Segment Bisector

Front

If ray EB is the bisector of ∠AEC, then m∠AEB = ½ m∠AEC.

Back

Angle Bisector Theorem

Front

If ray EB bisects AF, then E is the midpoint of AF.

Back

Definition of Segment Bisector

Front

If ∠BEC ≅ ∠CEF then ray EC is the bisector of ∠BEF.

Back

Definition of Angle Bisector

Front

What Reasons are Used in Proofs?

Back

Given, Definitions, Postulates, and Theorems.