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Geometry Informal and Two-Column Proofs Two Column Proofs Assignment Total Points = 40 This proof is worth 10 points. Each blank is worth 2 points. Fill in the blanks in the proof below: A B C D E G F H Given: CD⊥ AE and CD||GH ; Prove: GH⊥ AF . Statement Reason CD⊥ AE Given CD||GH Given ∠ABD is a right angle Because CD is perpendicular with AE ∠ABD and ∠GEF are alternate exterior angles ∠ABD ≅ ∠GEF Because CD // GH ∠GEF is a right angle All right angles are congruent GH is perpendicular with AF Definition of alternate exterior angles Proved This proof is worth 30 points, 15 points for statements, 15 points for reasons A B F G C E D Given: m∠EGF = 60° and m∠AGF = 90° ; Prove: m∠AGB = 30° . Angle on 1 side of a straight line will always add to 180 degrees. Therefore, mEGF + mAGF + mAGB = 180 --> mAGB = 180 - 60 - 90 = 30 degrees