Mathematics 0580 · IGCSE · Similarity

Similarity — practice question

The diagram shows S on PQ and T on PR. ST runs parallel to QR.

(a)[3]

State why triangle PQR is mathematically similar to triangle PST. Include a geometric reason for every statement you make.

(b)[2]

Find PQ.

(c)[2]

Find the area of quadrilateral QRTS, in terms of k.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “$$PQR=PST$$, with corresponding angles” …