ProofModerate1 mark
11(b)
PQR is a triangle. S is a point on the side QR of ΔPQR such that ∠PSR = ∠QPR. Given QP = 8 cm, PR = 6 cm and SR = 3 cm
Prove ΔPQR ~ ΔSPR
Topic: Similarity / scale factor
Previous-year question practice database
Answer
Solution diagram
Exam answer
Given ∠PSR = ∠QPR.
Since S lies on QR: ∠PRS = ∠PRQ.
Therefore, by AA: ΔPQR ∼ ΔSPR.
Hence proved.
Explanation
The angle at R is common in direction because RS lies on RQ; together with the given angle pair this proves similarity.
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