2017Q11(b)(iii)Similarity (With Applications to Maps and Models)

NumericalEasy1 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

Figure for this question

area of ΔPQR / area of ΔSPR

Topic: Similarity / scale factor

Previous-year question practice database

Answer

Solution diagram

Solution diagram

Exam answer

Corresponding-side ratio ΔPQR : ΔSPR = 2 : 1.

Area ratio = (2/1)² = 4.

Answer: 4 : 1.

Explanation

Areas of similar triangles are in the square of the corresponding-side ratio.

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