DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 8–9 · Constructions
Construction of Geometric Figures
WORKSHEET
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  / 18

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    What two instruments may you use in a construction?
    (2)
  2. 2
    Why must you not rub out your arcs?
    (2)
  3. 3
    When bisecting AB, how wide must the compass be opened?
    (2)
  4. 4
    What angle does a perpendicular bisector make with the line?
    (2)
  5. 5
    How do you construct a 30° angle?
    (2)
  6. 6
    How do you construct a 45° angle?
    (2)
  7. 7
    Which side should you draw first when constructing a triangle?
    (2)
  8. 8
    Can a triangle with sides 3 cm, 4 cm and 9 cm be constructed?
    (2)
    2 cm9 cm3 cm4 cmthe two arcs fall short of each other
  9. 9
    Each angle of a constructed equilateral triangle measures…
    (2)
    6 cm6 cm6 cmarcs of the same radius from both ends
TOTAL: 18 marks
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