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WAEC Mathematics 2006 Question 46

Question 46

Triangles and Quadrilaterals

In the diagram, |XY| = 12 cm, |XZ| = 9 cm, |ZN| = 3 cm and ZY||NM. Calculate |MY|.

Diagram for this question
  1. A.3 cm
  2. B.4 cm
  3. C.5 cm
  4. D.6 cm
Show the answer and explanation

Answer: B (4 cm)

Explanation

Since ZY ∥ NM, triangles XZY and XNM are similar: XZ/XN = XY/XM, so 9/12 = 12/XM and XM = 16 cm. |MY| = 16 − 12 = 4 cm.