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 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.Write down how many right angles a rectangle has.
- 3.Write down the name given to a quadrilateral with exactly one pair of parallel sides.
- 4.In an isosceles triangle each of the two base angles is 46°. Work out the size of the angle at the apex.
- 5.Write down how many right angles a right-angled triangle has.
- 6.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.
- 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.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.
- 9.Write down the number of lines of symmetry a rhombus has.
- 10.A picture frame is a rhombus with a diagonal of 16 cm and a diagonal of 12 cm. The two diagonals meet at right angles at their midpoints. Work out the length of one side of the rhombus.
- 11.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.
- 12.The three angles of a triangle are 10°, 58° and 112°. Write down the name that describes this triangle.
- 13.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.
- 14.Write down which one of these quadrilaterals always has diagonals that are equal in length and that cross at right angles.
- 15.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.
Build your own mix at the worksheet builder.