NumericalEasy1 mark
9(b)
In ΔPQR, MN is parallel to QR and PM / MQ = 2 / 3
Find MN / QR
Topic: Similarity / scale factor
Previous-year question practice database
Answer
Exam answer
Given:
PM/MQ = 2/3
Therefore:
PQ = PM + MQ
So:
PM/PQ = 2/(2 + 3) = 2/5
Since MN ∥ QR:
ΔPMN ∼ ΔPQR
Therefore corresponding sides are proportional:
MN/QR = PM/PQ = 2/5
Answer:
MN/QR = 2/5.
Explanation
MN is parallel to QR, so triangles PMN and PQR are similar. The ratio PM:PQ is 2:(2+3) = 2:5, which is also the ratio MN:QR.
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