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Shapes: Triangles and Quadrilaterals

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Shapes: Triangles and Quadrilaterals

Choose the best answer for each multiple-choice question. Show your working where requested. Use a ruler for your drawing.

Classifying Shapes

1.A triangle has side lengths 6 cm, 6 cm and 9 cm. How is it classified by its sides?
  • Equilateral
  • Isosceles
  • Scalene
  • Right-angled
2.A triangle has angles of 90°, 30° and 60°. Which description fits it?
  • Acute scalene triangle
  • Isosceles right triangle
  • Right-angled scalene triangle
  • Obtuse isosceles triangle
3.Which quadrilateral has exactly one pair of opposite sides parallel?
  • Parallelogram
  • Trapezium
  • Rectangle
  • Rhombus
4.Which quadrilateral has four equal sides and four right angles?
  • Square
  • Rhombus
  • Rectangle
  • Kite

Work It Out

5.Two angles in a triangle are 48° and 67°. Calculate the size of the third angle.
6.A triangle has a perimeter of 62 cm. Two of its sides are 18 cm and 27 cm. Find the length of its third side.
7.A rectangular patio is 9 m long and 4 m wide. Work out its area in square metres. Show your calculation.
8.A triangle has angles of 52° and 52°. What is the size of the third angle, and what can you conclude about the triangle’s sides?

Quadrilateral Properties

9.Match each quadrilateral to its defining property.
  • Parallelogram
  • Trapezium
  • Rhombus
  • Kite
  • Rectangle
  • Exactly one pair of opposite sides is parallel
  • Two pairs of adjacent sides are equal
  • All four sides are equal
  • Four right angles; opposite sides are equal
  • Both pairs of opposite sides are parallel
10.Draw a kite that is not a rhombus. Mark the equal sides with matching marks, then write two properties of your kite.

2 printable pages

  • Shapes: Triangles and Quadrilaterals, page 1 of 2: Classifying Shapes, Work It Out

    Page 1

  • Shapes: Triangles and Quadrilaterals, page 2 of 2: Quadrilateral Properties

    Page 2

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