WAEC Mathematics 1988 Question 9

Question 9

Triangles and Quadrilaterals

In the diagram below, find the ratio |PQ|/|PR|

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

Answer: B (3/5)

Explanation

The parallel lines cut the upper line into 5 equal parts, so they also cut PR into 5 equal parts (intercept theorem). PQ covers 3 of them, so |PQ|/|PR| = 3/5.