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I need help on 2 column proofs!!

I need help on 2 column proofs!!-example-1
User Starlene
by
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1 Answer

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The proof is given below.

Explanation:

Given,

AB║DC and AB≅DC

To proof ΔABE ≅ Δ CDE

Proof:

AB║DC and AC is the transversal

∠BAE = ∠ECD ( alternate angle)

AB║DC and BD is the transversal

∠ABE = ∠EDC( alternate angle)

Now,

In ΔABE and Δ CDE

∠BAE = ∠ECD ( alternate angle)

∠ABE = ∠EDC( alternate angle)

∠AEB = ∠CED (vertically opposite angle)

So, by AAA condition we get,

ΔABE ≅ Δ CDE

User JayRizzo
by
7.7k points

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