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In the adjoining figure, AB = AD and CB = CD. Prove that ΔABC ≅ ΔADC.

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In the adjoining figure, AB = AD and CB = CD. Prove that ΔABC ≅ ΔADC.

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Best answer

Given,

AB = AD and CB = CD

To prove,

ΔABC ≅ ΔADC.

Proof,

In ΔABC and ΔADC

AB = AD (given)

CB = CD (given)

AC = AC (common)

∴ ΔABC ≅ ΔADC.

(By SSS congruence property)

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