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If ∆PQR ≅ ∆EDF, then is it true to say that PR = EF? Give reason for your answer

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Question

If ∆PQR ≅ ∆EDF, then is it true to say that PR = EF? Give reason for your answer

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Solution

Yes, if ΔPQR ≅ ΔEDF, then it means that corresponding angles and their sides are equal because we know that, two triangles are congruent, if the sides and angles of one triangle are equal to the corresponding sides and angles of other triangle.

Here, ΔPQR ≅ ΔEDF

∴ PQ = ED, QR = DF and PR = EF

Hence, it is true to say that PR = EF.

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Chapter 7: Triangles - Exercise 7.2 [Page 65]

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NCERT Exemplar Mathematics Exemplar [English] Class 9
Chapter 7 Triangles
Exercise 7.2 | Q 7. | Page 65

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