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.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.
- 2.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.
- 3.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.
- 4.Write down the name given to a quadrilateral that has exactly one pair of parallel sides.
- 5.Quadrilateral WXYZ has WX parallel to ZY, and WZ = XY (the two non-parallel sides are equal in length). Give a reason why angle W = angle X.
- 6.In an isosceles triangle each of the two base angles is 46°. Work out the size of the angle at the apex.
- 7.A picture frame is a rhombus with a diagonal of 16 cm and a diagonal of 12 cm. The two diagonals meet at right angles at their midpoints. Work out the length of one side of the rhombus.
- 8.Write down the number of lines of symmetry a rhombus has.
- 9.A rhombus has all four sides equal in length. Write down how many pairs of parallel sides a rhombus has.
- 10.Write down which one of these quadrilaterals always has diagonals that are equal in length and that cross at right angles.
- 11.Write down the name given to a quadrilateral with exactly one pair of parallel sides.
- 12.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.
- 13.A parallelogram has an area of 96 cm² and a base of 8 cm. Work out the perpendicular height of the parallelogram.
- 14.Write down the mathematical name for a quadrilateral that has exactly one pair of parallel sides.
- 15.Write down which one of these statements about quadrilaterals is true.
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