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**lakeheadca****Member**- Registered: 2010-01-31
- Posts: 37

Give triangle ABC and EDC, c is the midpoint of

__ __

BD and AE.

prove: AB|| DE

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**ZHero****Real Member**- Registered: 2008-06-08
- Posts: 1,889

∠ ACB = ∠ DCE (vertically oppsite ∠s)

AC/DC = BC/EC = 1/2 (given)

∴ ACB∼DCE (SAS similarity)

∴ ∠ABC = ∠DCE

AB||DE (alternate angles are equal)

If two or more thoughts intersect, there has to be a point!

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