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.The three angles of a triangle are 10°, 58° and 112°. Write down the name that describes this triangle.
- 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.Write down the name given to a quadrilateral that has exactly one pair of parallel sides.
- 4.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.
- 5.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.
- 6.Write down which one of these quadrilaterals always has diagonals that are equal in length and that cross at right angles.
- 7.Quadrilateral PQRS has angle P = 92°, angle Q = 84° and angle R = 106°. Work out the size of angle S.
- 8.Write down the mathematical name for a quadrilateral that has exactly one pair of parallel sides.
- 9.A rhombus has all four sides equal in length. Write down how many pairs of parallel sides a rhombus has.
- 10.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.
- 11.Write down which one of these statements about quadrilaterals is true.
- 12.Write down the name given to a triangle whose three sides are all the same length.
- 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.A parallelogram has an area of 96 cm² and a base of 8 cm. Work out the perpendicular height of the parallelogram.
- 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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