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.
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Properties of triangles and quadrilaterals worksheet — GCSE Foundation
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- 1.Write down how many right angles a rectangle has.
- 2.A rhombus has all four sides equal in length. Write down how many pairs of parallel sides a rhombus has.
- 3.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.
- 4.Write down the number of lines of symmetry a rhombus has.
- 5.Write down the name given to a quadrilateral that has exactly one pair of parallel sides.
- 6.Write down the name given to a triangle whose three sides are all the same length.
- 7.A quadrilateral has exactly two lines of symmetry, its two pairs of opposite angles are equal, and its diagonals are not equal in length. Write down the name of this quadrilateral.
- 8.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.
- 9.A triangular bunting flag has two equal sides. The angle between those two equal sides is 80°, and the other two angles of the flag are equal to each other. Work out the size of each of the two equal angles.
- 10.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.
- 11.The three angles of a triangle are 10°, 58° and 112°. Write down the name that describes this triangle.
- 12.Write down the name given to a quadrilateral with exactly one pair of parallel sides.
- 13.Write down the mathematical name for a quadrilateral that has exactly one pair of parallel sides.
- 14.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.
- 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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