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प्रश्न
In the following figure, PQ = PS and ∠1 = ∠2.
- Is ∆PQR ≅ ∆PSR? Give reasons.
- Is QR = SR? Give reasons.

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उत्तर
i. In ∆PQR and ∆PSR,
PQ = PS ...(Given)
∠1 = ∠2 ...(Given)
PR = PR ...(Common)
∴ ∆PQR ≅ ∆PSR ...(SAS criterion)
ii. Yes, QR = SR ...(By C.P.C.T.)
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संबंधित प्रश्न
Given below are measurements of some parts of two triangles. Examine whether the two triangles are congruent or not, by using the SAS congruence rule. If the triangles are congruent, write them in symbolic form.
∆ABC, AB = 7 cm, BC = 5 cm, ∠B = 50°.
∆DEF, DE = 5 cm, EF = 7 cm, ∠E = 50°.
State whether the two triangles are congruent or not. Justify your answer
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