Fill in the missing statement and reason in the proof of the Alternate Exterior 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. ________ by the Vertical Angles Theorem. ∠AGF and ∠CHF are corresponding and congruent according to the Corresponding Angles Theorem. Finally, ∠EGB and ∠CHF are congruent by the ________.
∠EGB and ∠EGA are congruent; Transitive Property of Equality
∠EGB and ∠AGF are congruent; Transitive Property of Equality
∠EGB and ∠AGF are congruent; Subtraction Property
∠EGB and ∠EGA are congruent; Subtraction Property