# Geometry

Janet is designing a frame for a client. She wants to prove to her client that m∠AGE ≅ m∠CHE in her sketch. What is the missing justification in the proof?

Segment AB is parallel to segment CD, and transversal EF intersects segment AB at G and segment CD at H.

Statement Justification
segment AB is parallel to segment CD with transversal segment EF Given
m∠AGE ≅ m∠HGB Vertical Angles Theorem
m∠HGB ≅ m∠CHE Alternate Interior Angles Theorem
m∠AGE ≅ m∠CHE
Alternate Exterior Angles Theorem
Corresponding Angles Theorem
Reflexive Property
Transitive Property

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1. #3. Corresponding

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