It is given that AB = BC and AD = EC. The ΔABE ≅ ΔCBD by ——— – InterviewSolution

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1.

It is given that AB = BC and AD = EC. The ΔABE ≅ ΔCBD by ——— congruency.(a) SSS (b) ASA (c) SAS (b) AAS

Answer»

(c) SAS

Given, AD = EC

⇒ AD + DE = DE + EC

⇒ AE = DC

Also, AB = BC

⇒ ∠BCA = ∠BAC (isos. Δproperty)

⇒ ∠BCD = ∠BAE

∴ In Δs ABE and CBD,

AB = CB (Given)

AE = DC (Proved above)

∠BAE =∠BCD (Proved above)

∴ Δ ABE ≅ Δ CBD (SAS)

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