Geometric terms, notation and diagrams worksheet — GCSE Foundation

1.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?

2.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?

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

4.Which of the following correctly describes what it means for two lines to be perpendicular?

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

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

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

8.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?

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

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

11.In triangle XYZ, the side opposite vertex X is labelled using the standard lowercase-letter convention. Which label is correct?

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

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

14.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?

15.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?