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January 30, 2015

January 30, 2015

Posted by **fredrick** on Saturday, October 27, 2007 at 6:31pm.

given ABCD is an isoceles trapezoid with AD parallel to BC; DE=DC

prove ABED is a parallelogram

- geometry -
**drwls**, Saturday, October 27, 2007 at 6:37pmWhere are points E and F?

- geometry -
**fredrick**, Saturday, October 27, 2007 at 6:46pmther is no e and f it a two column proof

statements reasons

1.AD parr.BC;DE=DC 1.given

2.AB=DC 2.def of isos trap

3.<B=<? 3.?

4.<DEC=? 4?

5.<DEC=<B 5.?

6.AB parr. DE 6.?

- geometry -
- geometry -
**drwls**, Sunday, October 28, 2007 at 1:48amI should have just asked where point E is. There is no F mentioned; I was wring about that. The question makes sense if E lies along the extended line BCE

ABED is a parallelogram if BE = AD and is parallel to AD, AND if AB is parallel and equal to AB. That is what you have to prove.

Clearly CDE is an isosceles triangle appended to ABCD. Prove that the angle ADC is the same as DCE. This will prove that CE is an extension of BC.

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