SOLUTION: Referring to the figure, complete the proof. Given: segment AB║segment DC, segment AB ≅ segment DC Prove: segment AE ≅ segment DE What is the reason for St

Algebra ->  Geometry-proofs -> SOLUTION: Referring to the figure, complete the proof. Given: segment AB║segment DC, segment AB ≅ segment DC Prove: segment AE ≅ segment DE What is the reason for St      Log On


   



Question 1042669: Referring to the figure, complete the proof.
Given: segment AB║segment DC,
segment AB ≅ segment DC
Prove: segment AE ≅ segment DE
What is the reason for Statement #1?
Step Statements Reasons
#1 segment AB║segment CD 28. _____
#2 ∠ABE ≅ ∠DCE 29. _____
#3 segment AB ≅ segment DC 30. _____
#4 ∠BAE ≅ ∠CDE 31. _____
#5 ΔAEB ≅ ΔDEC 32. _____
#6 segment AE ≅ segmentDE 33. _____
http://imgur.com/a/eTgUL

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Use the idea that alternate interior angles created by the transversal of two parallel lines are congruent to show angle A congruent to angle D and angle B congruent to angle C. Then, since AB congruent to DC, you have two triangles congruent by ASA and then AE congruent to DE by CPCT.

John

My calculator said it, I believe it, that settles it