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
MathsUKwww.geekhero.co.uk
- 1.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.
- 2.The cross-section of a tent is an isosceles triangle. The angle at the top, between the two equal sloping sides, is 62°. The other two angles are equal to each other. Work out the size of each of those two angles.
- 3.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.
- 4.Write down the number of lines of symmetry a rhombus has.
- 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 how many right angles a rectangle has.
- 7.Write down which one of these quadrilaterals always has diagonals that are equal in length and that cross at right angles.
- 8.The three angles of a triangle are 10°, 58° and 112°. Write down the name that describes this triangle.
- 9.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.
- 10.Write down the name given to a triangle whose three sides are all the same length.
- 11.Write down how many right angles a right-angled triangle has.
- 12.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.
- 13.Write down the name given to a quadrilateral that has exactly one pair of parallel sides.
- 14.Quadrilateral PQRS has angle P = 92°, angle Q = 84° and angle R = 106°. Work out the size of angle S.
- 15.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.
Build your own mix at the worksheet builder.