Constructions — O/L Mathematics

How do I practise Constructions?

1 question with a worked solution

1. Using a straightedge and compasses only, which of the following angles can be constructed directly by bisecting a 60° angle?
   1. A) 45°
   2. B) 15°
   3. C) 30°
   4. D) 75°
   Check my answer

   Correct answer: C) 30°

   Bisecting a 60° angle (which is constructed as an angle of an equilateral triangle) yields exactly 30° (60° / 2 = 30°).

   Show worked solution

   Step 1: Construct 60° by drawing an arc and intersecting with same radius. Step 2: Construct angle bisector of the 60° angle. Step 3: Resulting angle = 60° / 2 = 30°. Answer: 30°.
   Modelled on: the O/L Mathematics examination pattern

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Where does Constructions fit in the syllabus?

Grade 10 · Term 3 · Grade 11 · Term 3