Question

▲PQR is an isosceles triangle with PQ=PR. A and B are points on PQ and PR , respectively such that PA=PB.prove that▲BQR =~▲ARQ and give the congruency criteria on.​

Answer 1

Answer:

Given : ΔPQR is an isosceles triangle and PQ = PR

To prove : ΔBQR ≅ ΔARQ

Proof : In ΔBQR and ΔARQ

           QR = QR  (∵ same base)

           AQ = BR  (∵given that A and B are the mid points)

           AR = BQ

∴ ΔBQR ≅ ΔARQ

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