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Grade 10 · Euclidean Geometry
Properties of Quadrilaterals & Their Proofs (Grade 10)
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  / 16

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

  1. 1
    Define a parallelogram.
    (2)
  2. 2
    Which quadrilateral has diagonals that are equal AND bisect each other?
    (2)
  3. 3
    Which quadrilateral has perpendicular diagonals that bisect the angles?
    (2)
  4. 4
    How many pairs of parallel sides does a trapezium have?
    (2)
  5. 5
    Do a kite's diagonals bisect each other?
    (2)
  6. 6
    In parallelogram ABCD, ∠A = 70°. Find ∠C and ∠B.
    (2)
    A70°B?CD
  7. 7
    State five ways to prove a quadrilateral is a parallelogram.
    (2)
  8. 8
    Is every rectangle a parallelogram? Is every parallelogram a rectangle?
    (2)
TOTAL: 16 marks
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