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Three parallel lines are cut by two transversals. The first transversal meets them at A, B and C in that order, and the second meets them at P, Q and R in that order, with B and Q on the middle line. If AB = 6 cm, BC = 9 cm and PQ = 8 cm, what is the length of QR?

Competition practiceGeometry
  • A12 cm
  • B24 cm
  • C9 cm
  • D6 cm

Step-by-Step Solution

Parallel lines cut off proportional intercepts on any two transversals, so AB : BC = PQ : QR. That gives 6 : 9 = 8 : QR, so QR = cm.
Answer: A) 12 cm

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