Hey! I need help with two-column proof please!!!

[oriapplebaum]

Hey, I need help with writing the following two-column proof. I've been struggling with setting the statements and reasons after the given. Thanks.

Given: Line Segment AE is Congruent to Line Segment BD, Line Segment CD is congruent to Line Segment CE
Prove: Line Segment AC is congruent to Line Segment BC

Thanks so much!

 

[stapel]

With only the given information, this would appear not even to be true:

Let |AE| = |CE| = |CD| = |BD|.

Draw point A. Going straight to the right, draw point E. Continuing on straight to the right, draw point C. Turning straight down, draw point D.

Now hook back up, a little to the right of "straight up", and draw point B.

Since all the line segments thus far are congruent, this figure fulfills the requirements of the "givens". But |AC| = 2|AE|, and |BC| is almost negligible.

Sorry.

Eliz.