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Properties of Quadrilaterals

Name: ______________________Class: ________Date: ____________Score: ____ / 10
  1. 1.

    A parallelogram has one angle of 70°. Find all four angles.

    Answer: ____________________________________

  2. 2.

    Which quadrilateral has ALL sides equal and ALL angles equal to 90°?

    (a) Rectangle(b) Rhombus(c) Square(d) Trapezium
  3. 3.

    A rhombus has one angle of 60°. Find the other three angles.

    Answer: ____________________________________

  4. 4.

    What are the diagonals of a rectangle?

    (a) Perpendicular and equal(b) Equal in length only(c) Perpendicular only(d) Not equal
  5. 5.

    A trapezium has one pair of parallel sides. The parallel sides are 10 cm and 6 cm, height 4 cm. Find the area.

    Answer: ____________________________________

  6. 6.

    The diagonals of a rhombus are perpendicular bisectors of each other and measure 8 cm and 6 cm. Find the area.

    Answer: ____________________________________

  7. 7.

    Sum of interior angles of a quadrilateral is:

    (a) 180°(b) 270°(c) 360°(d) 540°
  8. 8.

    A kite has two pairs of adjacent equal sides. It has one axis of symmetry. Angles A=B (top). Angles C=D (bottom). If A=B=50° and C=120°, find D.

    Answer: ____________________________________

  9. 9.

    In a parallelogram, two adjacent angles are (3x+10)° and (2x+20)°. Find x.

    Answer: ____________________________________

  10. 10.

    A square has perimeter 48 cm. Find the length of its diagonal. (Leave answer in surd form or use √2 ≈ 1.41)

    Answer: ____________________________________

Answer key — P6 Math: Properties of Quadrilaterals

For parents. Step-by-step explanations for every question are free on brightbit.net.

  1. 1.70°, 110°, 70°, 110°
  2. 2.(c) Square
  3. 3.60°, 120°, 60°, 120°
  4. 4.(b) Equal in length only
  5. 5.32 cm²
  6. 6.24 cm²
  7. 7.(c) 360°
  8. 8.140°
  9. 9.30
  10. 10.≈16.97 cm (or 12√2 cm)
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