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.
Properties of triangles and quadrilaterals worksheet — GCSE Foundation
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- 1.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.
- 2.A parallelogram has an area of 96 cm² and a base of 8 cm. Work out the perpendicular height of the parallelogram.
- 3.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.
- 4.Write down which one of these quadrilaterals always has diagonals that are equal in length and that cross at right angles.
- 5.Write down the name given to a quadrilateral with exactly one pair of parallel sides.
- 6.Write down the number of lines of symmetry a rhombus has.
- 7.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.
- 8.Write down which one of these statements about quadrilaterals is true.
- 9.Write down the mathematical name for a quadrilateral that has exactly one pair of parallel sides.
- 10.A rhombus has all four sides equal in length. Write down how many pairs of parallel sides a rhombus has.
- 11.Write down how many right angles a rectangle has.
- 12.A tile is described as having two pairs of parallel sides, four equal sides, and diagonals that cross at right angles but are not equal in length. Give a reason why this tile cannot be a square.
- 13.In quadrilateral ABCD the two sides AB and BC are each 6 cm long and meet each other at B. The two sides CD and DA are each 9 cm long and meet each other at D. No side of ABCD is parallel to any other side. Write down the mathematical name of this quadrilateral.
- 14.The three angles of a triangle are 10°, 58° and 112°. Write down the name that describes this triangle.
- 15.Write down how many right angles a right-angled triangle has.
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