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