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In Triangle ABC and Triangle PQR, L(AB) =L(PR),angle A =angle R,angle B = angle P. Write the correspondence for which the given ar

By Josephine

In Triangle ABC and Triangle PQR, L(AB) =L(PR),angle A =angle R,angle B = angle P. Write the correspondence for which the given are congruent
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1 thought on “In Triangle ABC and Triangle PQR, L(AB) =L(PR),angle A =angle R,angle B = angle P. Write the correspondence for which the given ar”

  1. In △ABC and △PQR
    ∠C=∠P (Given)
    ∠B=∠Q (Given)
    ∠A=∠R (Third angle of the triangle)

    Thus, △ABC∼△PQR
    Also, given, AB=AC
    Thus, ∠B=∠C (Isosceles triangle Property)

    But, ∠B=∠Q and ∠C=∠P
    Hence, ∠Q=∠P
    or PR=QR

    Thus, both the triangles are Isosceles but not congruent.

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