Fill in the missing statement and reason in the proof of the Alternate Interior Angles Theorem. Segment AB is parallel to segment CD, and transversal EF intersects segment AB at G and segment CD at H. 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