Question

Given: CD⊥AE and CD||GH; Prove: GH⊥AF.
http://i.imgur.com/xza8i8z.png

Answer 1

CD perpendicular to AE REason: Given

Answer 2

CD II GH Reason: Given

Answer 3

angle I<ABDI is a right angle Reason: CD perpendicular to AE

Answer 4

Reason:A line that cuts two parallel lines creates two alternate anglesi.e I<ABDI = I<GEFI (as well as two corresponding angles)

Answer 5

I<ABDI = I<GEFI Reason: Corresponding angles

Answer 6

final statement: GH is perpendicular to AF Reason: if two exterior alternate angles are equal then the two lines are parallel, and if both those angles are 90 degrees then the line that cuts them is perpendicular