Fill in the missing statement and reason in the proof of the Alternate Interior Angles Theorem. It is given that segment AB is parallel to segment CD and points E, G, H, and F are collinear. ∠AGF and ∠EGB are vertical and congruent by the Vertical Angles Theorem. ∠EGB and ∠EHD are congruent according to the _. Finally, _ by the Transitive Property of Equality.

Corresponding Angles Theorem; ∠AGF and ∠EHD are congruent

Alternate Exterior Angles Theorem; ∠EGB and ∠EHD are congruent

Corresponding Angles Theorem; ∠EGB and ∠EHD are congruent

Alternate Exterior Angles Theorem; ∠AGF and ∠EHD are congruent