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 which one of these quadrilaterals always has diagonals that are equal in length and that cross at right angles.
- 2.Write down the number of lines of symmetry a rhombus has.
- 3.Write down the name given to a triangle whose three sides are all the same length.
- 4.Write down the name given to a quadrilateral with exactly one pair of parallel sides.
- 5.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.
- 6.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.
- 7.Write down which one of these statements about quadrilaterals is true.
- 8.Write down the name given to a quadrilateral that has exactly one pair of parallel sides.
- 9.A trapezium-shaped allotment plot has two parallel sides that face each other, and two sloping sides that are equal in length (an isosceles trapezium). One of the angles next to the shorter parallel side is 118°. Work out the angle next to the other end of the same shorter parallel side.
- 10.In kite WXYZ, WX = WZ and XY = ZY (so at each of X and Z, one side from each of the two unequal pairs meets). Angle X = 100°. Work out angle Z.
- 11.A rhombus has all four sides equal in length. Write down how many pairs of parallel sides a rhombus has.
- 12.Write down the mathematical name for a quadrilateral that has exactly one pair of parallel sides.
- 13.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.
- 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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