Triangles · Class 10 · CBSE Mathematics

If in two triangles, ABC and PQR, frac{AB}{QR} = frac{BC}{PR} = frac{CA}{PQ}, then which of the following is correct?

Practice question from Triangles (Class 10 · CBSE Mathematics), with the correct answer and a step-by-step solution.

medium · MCQ · Q-5D6ADD

If in two triangles, ABCABC and PQRPQR, ABQR=BCPR=CAPQ\frac{AB}{QR} = \frac{BC}{PR} = \frac{CA}{PQ}, then which of the following is correct?

  1. A.△PQR∼△CAB\triangle PQR \sim \triangle CABCorrect answer
  2. B.△PQR∼△ABC\triangle PQR \sim \triangle ABC
  3. C.△CBA∼△PQR\triangle CBA \sim \triangle PQR
  4. D.△BCA∼△PQR\triangle BCA \sim \triangle PQR

Solution

Matching the vertices based on the given proportional sides: side ABAB corresponds to QRQR, BCBC corresponds to PRPR, and CACA corresponds to PQPQ. Therefore, vertex AA corresponds to QQ, BB to RR, and CC to PP. Thus, △ABC∼△QRP\triangle ABC \sim \triangle QRP, which means △PQR∼△CAB\triangle PQR \sim \triangle CAB.

More from Triangles

All of Triangles

Practise more Mathematics

Sign up free for adaptive practice on this chapter, with instant feedback and hints on every question.

Start practising free

Free to start · No credit card needed