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 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.
- 2.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.
- 3.A rhombus has all four sides equal in length. Write down how many pairs of parallel sides a rhombus has.
- 4.Write down the mathematical name for a quadrilateral that has exactly one pair of parallel sides.
- 5.In an isosceles triangle each of the two base angles is 46°. Work out the size of the angle at the apex.
- 6.Write down the name given to a quadrilateral with exactly one pair of parallel sides.
- 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.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.
- 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.Write down which one of these statements about quadrilaterals is true.
- 11.Write down how many right angles a rectangle has.
- 12.Write down the name given to a quadrilateral that has exactly one pair of parallel sides.
- 13.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.
- 14.Write down the name given to a triangle whose three sides are all the same length.
- 15.Write down which one of these quadrilaterals always has diagonals that are equal in length and that cross at right angles.
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