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
MathsUKwww.geekhero.co.uk
- 1.Write down how many right angles a right-angled triangle has.
- 2.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.
- 3.Write down how many right angles a rectangle has.
- 4.A stained-glass window panel is designed as a kite. Two adjacent sides are each 25 cm, and the other two adjacent sides are each 40 cm. A frame is fitted around the whole panel. The frame costs £2.50 per metre, sold only in whole metres. Work out the total cost of the frame.
- 5.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.
- 6.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.
- 7.Write down the name given to a triangle whose three sides are all the same length.
- 8.The three angles of a triangle are 10°, 58° and 112°. Write down the name that describes this triangle.
- 9.Write down the number of lines of symmetry a rhombus has.
- 10.A rhombus has all four sides equal in length. Write down how many pairs of parallel sides a rhombus has.
- 11.Write down the name given to a quadrilateral that has exactly one pair of parallel sides.
- 12.Write down which one of these quadrilaterals always has diagonals that are equal in length and that cross at right angles.
- 13.Write down the name given to a quadrilateral with exactly one pair of parallel sides.
- 14.ABCD is an isosceles trapezium. The sides AB and DC are parallel, and the two sloping sides AD and BC are equal in length. Angle D is 112°. Work out the size of angle B.
- 15.In an isosceles triangle each of the two base angles is 46°. Work out the size of the angle at the apex.
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