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