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SAS Criteria for Congruency of Triangles

In the given ...

Question

In the given figure, $A P = B Q, P R = Q S .$ Show that $△ A P S ≅ △ B Q R$

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Solution

$In △ A P S and △ B Q R$

$A P = B Q (Given)$ ...(i)

$∠ A P S = ∠ B Q R = 90^{\circ} ((Given )$ ...(ii)

$P R = Q S (Given)$

$P R + R S = Q S + R S (Adding RS to both sides)$

$P S = Q R$ ...(iii)

From (i), (ii) and (iii), we have
$△ A P S ≅ △ B Q R$ (by SAS rule)

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SAS Criteria for Congruency of Triangles

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