Question

julia is designing a frame for a client. she wants to prove to her client that m∠age ≅ m∠fhd in her sketch. what is the missing justification in the proof?
statement justification
ab||cd with transversal ef given
m∠age ≅ m∠hgb vertical angles theorem
m∠hgb ≅ m∠fhd
∠age ≅ ∠fhd transitive property
alternate exterior angles theorem
corresponding angles theorem
reflexive property
substitution property

Explanation:

When two parallel lines ($AB\parallel CD$) are cut by a transversal ($EF$), $\angle HGB$ and $\angle FHD$ are corresponding angles. The Corresponding Angles Theorem states that when two parallel lines are cut by a transversal, corresponding angles are congruent.

Answer:

Corresponding Angles Theorem