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WAEC Mathematics 2006 Question 12

Question 12

Constructions

Which of these diagrams show(s) the correct method of constructing a perpendicular line to another line PQ at a given point X on PQ?

Diagram for this question
  1. A.I only
  2. B.II only
  3. C.I and II only
  4. D.I, II and III
Show the answer and explanation

Answer: C (I and II only)

Explanation

In I, arcs from P and Q (equidistant from X) meet above X, and the line through X and that point is perpendicular. In II, the 60° and 120° marks on the semicircle are used and the angle between them is bisected, which also gives 90°. III shows no construction at all.