If $Δ P Q R a n d Δ X Y Z$ are congruent under the correspondence $Q P R \leftrightarrow X Y Z$ , then

(v) $∠ Q = . . . . . . . . . . . . . . . . . .$

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Solution

Step: Find the corresponding angle of $∠ Q$

Given: $Δ P Q R ≅ Δ Y X Z$ under the correspondence $Q P R \leftrightarrow X Y Z$

We know that if two triangles are congruent then their corresponding parts are equal.

So the corresponding part of $∠ Q i s ∠ X$ .

$∴ ∠ Q = ∠ X$ [By CPCT]

Hence, the answer is $∠ X$ .

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If ΔPQR and ΔXYZ are congruent under the correspondence QPR↔XYZ, then (v) ∠Q=..................

Step: Find the corresponding angle of ∠Q Given: ΔPQR≅ΔYXZ under the correspondence QPR↔XYZ We know that if two triangles are congruent then their corresponding parts are equal. So the corresponding part of ∠Q is ∠X. ∴∠Q=∠X [By CPCT] Hence, the answer is ∠X.

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(v) $∠ Q = . . . . . . . . . . . . . . . . . .$