SOLUTION: In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving AEC ≅ DEB, given that CA is parallel to DB and E is the

Algebra ->  Geometry-proofs -> SOLUTION: In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving AEC ≅ DEB, given that CA is parallel to DB and E is the      Log On


   

Question 1120287: In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving AEC ≅ DEB, given that CA is parallel to DB and E is the midpoint of AD. Submit the entire proof to your instructor.
Given:
CA || DB
E is the midpoint of AD
Prove:
AEC ≅ DEB


STATEMENT REASON
1. CA || DB
E is the midpoint of AD 1.
2. 2.
3. 3. Definition of Midpoint
4. AEC ≅ DEB 4.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I'm assuming your diagram resembles this:


You can format your proof any way you like.

Segment AE is congruent to Segment ED by definition of Midpoint.

Angle CAE congruent to Angle BDE by Opposite Interior Angles of a Transversal

Angle AEC congruent to Angle BED by Vertical Angles

Therefore Triangle ACE congruent to Triangle BDE by ASA


John

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