In the given figure, prove that: [3 MARKS](i) ΔACB≅ΔECD(ii) AB=ED

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Question

In the given figure, prove that: [3 MARKS]

(i)

Δ A C B ≅ Δ E C D

(ii)

A B = E D

Answer:
:
Concept : 1 Mark
Proof : 2 Marks

In

Δ A C B

and

Δ E C D

A C = E C

[Given]

B C = D C

[Given]

∠ A C B = ∠ E C D

[Vertically opposite angles]

\Rightarrow Δ A C B ≅ Δ E C D

(By SAS condition)

∴ A B = E D

[Corresponding parts of congruent triangles]

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