Question

15. In the following figure, angleA = angle C
AB = BC.
Prove that : ◇ABD is congruent to ◇CBE​

Answer 1

Answer:

triangle ABD and CBE ,

AB=BC ( given )

∠BAD=∠BCE ( given )

∠ABD=∠CBE ( common angle )

By ASA criteria of congruence,

△ABD≅△CBE

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Answer 2

Step-by-step explanation:

Given:- ∠A = ∠C and AB = BC

To prove:- Δ ABD ≅ Δ CBE

Proof:- In Δ ABD and Δ CBE

        ∠A = ∠C            [given]

        AB = BC             [given]

       ∠B = ∠B              [common]

∴ Δ ABD ≅ Δ CBE  ( by ASA criteria)

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