Geometric terms, notation and diagrams worksheet — GCSE Foundation

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

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

3.A sign-maker is told a metal bracket outline must have two pairs of adjacent sides equal in length (not opposite pairs), exactly one pair of opposite angles equal, and exactly one line of symmetry. Which quadrilateral matches this description?

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

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

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

7.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?

8.A textbook contains the instruction 'Draw AB' and, on the next line, the statement 'AB = 5 cm'. Which statement about the notation AB is correct?

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

10.Point M lies exactly halfway between point A and point B, with A, M and B all on the same straight line. Which term correctly describes point M?

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

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

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

14.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?

15.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?