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.Com
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) (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
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