Geometric terms, notation and diagrams worksheet — GCSE Foundation

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

2.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?

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

4.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?

5.An isosceles trapezium has exactly one pair of parallel sides, and its two non-parallel sides are equal in length. How many lines of symmetry does it 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.Which of the following correctly describes what it means for two lines to be perpendicular?

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

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

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

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

12.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?

13.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?

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

15.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?