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.
Non-calculator
Properties of triangles and quadrilaterals worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.In an isosceles triangle each of the two base angles is 46°. Work out the size of the angle at the apex.
- 2.Write down the name given to a quadrilateral that has exactly one pair of parallel sides.
- 3.Write down which one of these quadrilaterals always has diagonals that are equal in length and that cross at right angles.
- 4.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.
- 5.Write down the name given to a quadrilateral with exactly one pair of parallel sides.
- 6.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.
- 7.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.
- 8.Write down how many right angles a rectangle has.
- 9.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.
- 10.A rhombus has all four sides equal in length. Write down how many pairs of parallel sides a rhombus has.
- 11.Write down the number of lines of symmetry a rhombus has.
- 12.Write down which one of these statements about quadrilaterals is true.
- 13.Quadrilateral PQRS has angle P = 92°, angle Q = 84° and angle R = 106°. Work out the size of angle S.
- 14.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.
- 15.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.
Build your own mix at the worksheet builder.