Mathematics, 18.03.2021 16:50, hiddenauthors436

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

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Fill in the missing statement and reason in the proof of the Alternate Exterior Angles Theorem. Seg...