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WAEC Mathematics 2007 Question 49

Question 49

Triangles and Quadrilaterals

In the diagram, |XR| = 4 cm, |RZ| = 12 cm, |SR| = n, |YZ| = m and SR || YZ. Find m in terms of n.

Diagram for this question
  1. A.m = 2n
  2. B.m = 3n
  3. C.m = 4n
  4. D.m = 5n
Show the answer and explanation

Answer: C (m = 4n)

Explanation

SR ∥ YZ, so triangles XSR and XYZ are similar: SR/YZ = XR/XZ = 4/16. So n/m = 1/4 and m = 4n.