Geometric terms, notation and diagrams worksheet — GCSE Foundation

1.A quadrilateral has all four sides equal in length and all four interior angles equal to 90°. Its diagonals are equal in length and bisect each other at right angles. Which quadrilateral matches this description exactly?

2.Which of these correctly compares a 'line' with a 'line segment'?

3.A rhombus has all four sides equal in length, but it is not a square — its angles are not all 90°. How many lines of symmetry does this rhombus have?

4.A patio plan states: 'Side AB of the patio is parallel to side DC, and AB is longer than DC. Sides BC and AD are not parallel to each other and are not equal in length.' The four sides measure AB = 5.1 m, BC = 3.2 m, DC = 2.8 m and AD = 4.5 m. The tiler needs to order edging strip only for the sides that are not parallel to any other side. What total length of edging strip, in metres, should the tiler order?

5.A triangular prism has two triangular faces and three rectangular faces. How many vertices does a triangular prism have?

6.A surveyor is marking out field ABCD for a new crop. The plan states that side AB is parallel to side DC, but AB and DC are not equal in length, and sides BC and AD are not parallel to each other. Which term correctly describes the shape of field ABCD?

7.In quadrilateral WXYZ, which of the following correctly names the angle at vertex Y using standard notation?

8.What does the statement AB = CD mean, where A, B, C and D are all points?

9.A tile manufacturer cuts a hexagonal tile so that all six sides measure exactly 4 cm, but a check shows only two pairs of the six interior angles are equal to each other, not all six angles. The customer's order specifies regular hexagonal tiles. Based on the check, is this tile a regular hexagon?

10.A quadrilateral has two pairs of parallel sides. All four of its interior angles are right angles, but its sides are not all the same length. Which quadrilateral is this?

11.In quadrilateral ABCD, side AB is parallel to side DC. Which statement correctly uses geometric notation to show this?

12.A quadrilateral has both pairs of opposite sides parallel and equal in length, but none of its angles are right angles. Which statement about this quadrilateral is correct?

13.A polygon has 9 sides. What is the name of this polygon?

14.A polygon has 12 straight sides. What is the mathematical name for this polygon?

15.In pentagon PQRST, which of the following correctly names the interior angle at vertex R, using standard three-letter angle notation?