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AAS Criteria for Congruency

In the given ...

Question

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

(i) $Δ A C B ≅ Δ E C D$

(ii) $A B = E D$

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Solution

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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