Geometric terms, notation and diagrams worksheet — GCSE Foundation

1.A garden designer describes a flower bed as a shape with four straight sides: exactly one pair of sides is parallel, those two parallel sides are different lengths, and the other two sides are equal in length to each other but not parallel to each other. Which shape should the designer draw?

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

3.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?

4.Which of the following is the correct definition of a regular polygon?

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

6.A regular polygon has 5 lines of symmetry. What is the order of rotational symmetry of this polygon?

7.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?

8.Lines AB and CD cross at a point, forming four right angles where they meet. Which notation correctly describes the relationship between AB and CD?

9.A polygon has one more side than a heptagon. What is the polygon called?

10.A written description of a diagram states: 'AB is marked with a single arrow, CD is marked with a single arrow, and EF is marked with a double arrow.' Using the standard convention for marking parallel lines, what can be concluded?

11.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?

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

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

14.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?

15.In geometry, which of the following best describes a 'plane'?