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Quadrilateral Properties Worksheet

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Quadrilateral Properties Worksheet

Use the shape gallery and your knowledge of quadrilaterals. In this worksheet, a quadrilateral is a 2D shape with four straight sides. In UK geometry, a trapezium has exactly one pair of parallel sides.

Identify and classify

Use this shape gallery: A is a rectangle, B is a square, C is a rhombus that is not a square, D is a trapezium, and E is a non-rectangular parallelogram. Look closely at the descriptions. Remember: parallel sides stay the same distance apart and never meet.

1.Which shape in the gallery has exactly one pair of parallel sides?
  • A
  • B
  • C
  • D
2.Which two shapes in the gallery have four right angles?
3.Complete the sentence: A rhombus has four sides. Its opposite angles are .
4.True or false? Every square is also a rectangle because it has four right angles.
TrueFalse

Compare properties

Use precise geometry words such as parallel, equal, right angle and diagonal.

5.Match each quadrilateral to the property that best distinguishes it.
  • Rectangle
  • Rhombus
  • Kite
  • Parallelogram
  • All four sides are equal
  • Both pairs of opposite sides are parallel
  • Diagonals are equal in length
  • Two pairs of adjacent sides are equal
6.A rectangle has two diagonals drawn from opposite corners. What happens where they cross? Give two properties of the diagonals.
7.A quadrilateral has four equal sides but no right angles. Name the shape and state how many pairs of parallel sides it has.
8.Idris says, “A kite must have a pair of parallel sides because it has two pairs of equal sides.” Is Idris correct? Explain using a kite’s properties.
9.Draw a quadrilateral that has two pairs of parallel sides but does not have four right angles. Label one pair of parallel sides with matching arrows.
10.A mystery quadrilateral has diagonals that cross at right angles and one diagonal bisects the other. Which shapes could it be? Explain why these properties do not identify a unique shape.
11.Choose the statement that is always true for a parallelogram.
  • All four sides are equal.
  • Both pairs of opposite sides are parallel.
  • All four angles are right angles.
  • The diagonals cross at right angles.

2 printable pages

  • Quadrilateral Properties Worksheet, page 1 of 2: Identify and classify, Compare properties

    Page 1

  • Quadrilateral Properties Worksheet, page 2 of 2: 6. A rectangle has two diagonals drawn from opposite corners. What happens where they…

    Page 2

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