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Rainbow [258]
3 years ago
14

I need help on 2 column proofs!!

Mathematics
1 answer:
evablogger [386]3 years ago
7 0

The proof is given below.

Step-by-step 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

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