Printable · GCSE Foundation · ages 14-16
Properties of triangles and quadrilaterals worksheet — GCSE Foundation
Fifteen questions on "properties of triangles and quadrilaterals" — DfE statement G4. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
Properties of triangles and quadrilaterals worksheet — GCSE Foundation
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- 1.In a kite, one pair of opposite angles are equal in size. In kite WXYZ, angle X = 40° and angle Z = 100° are the two angles that are NOT equal to each other. The other two angles, W and Y, are equal to each other. Work out the size of angle W.
- 2.Write down the mathematical name for a quadrilateral that has exactly one pair of parallel sides.
- 3.Write down the name given to a triangle whose three sides are all the same length.
- 4.In parallelogram ABCD the vertices are labelled in order round the shape, so angle A and angle B are at the two ends of the same side. Angle A is 70°. Work out the size of angle B.
- 5.Two sides of a triangle are 20 cm and 8 cm long. Write down which one of these lengths is possible for the third side.
- 6.Two sides of a triangle are 9 cm and 15 cm long. Write down which one of these lengths is possible for the third side.
- 7.A garden bed is designed as a trapezium. The two parallel sides are 8 m and 12 m, and the perpendicular distance between them is 5 m. Grass seed covers 4 m² per bag, sold only in whole bags. Work out how many bags of grass seed are needed.
- 8.Write down the name given to a quadrilateral with exactly one pair of parallel sides.
- 9.A parallelogram has an area of 96 cm² and a base of 8 cm. Work out the perpendicular height of the parallelogram.
- 10.In an isosceles triangle each of the two base angles is 46°. Work out the size of the angle at the apex.
- 11.Write down how many right angles a right-angled triangle has.
- 12.Write down the number of lines of symmetry a rhombus has.
- 13.The three angles of a triangle are 10°, 58° and 112°. Write down the name that describes this triangle.
- 14.A rhombus has all four sides equal in length. Write down how many pairs of parallel sides a rhombus has.
- 15.Write down how many right angles a rectangle has.
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