Geometric terms, notation and diagrams worksheet — GCSE Foundation

1.A rhombus has all four sides equal in length. Which statement about a rhombus is correct?

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

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

4.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?

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

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

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

8.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?

9.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?

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

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

12.A triangle has vertices X, Y and Z, with a right angle at Y. Side XY is twice as long as side YZ. Which of the following correctly describes this triangle?

13.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?

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

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?