Mathematics 0580 · IGCSE · Similarity

Similarity — practice question

Two triangles are illustrated. In triangle $ABC$, the angles measure $65^\circ$, $75^\circ$, and $40^\circ$, and the side $AB = 6$ cm. In triangle $PQR$, the matching angles are $65^\circ$, $75^\circ$, and $40^\circ$, with base $PR = 27$ cm and side $PQ = 18$ cm. NOT TO SCALE.
(a)[1]

Explain why $\triangle ABC$ is similar to $\triangle PQR$.

(b)[2]

Find the value of $AC$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\angle P=\angle A$, $\angle Q=\angle B$, $\angle R=\angle C$

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI