Geometric terms, notation and diagrams worksheet — GCSE Foundation

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

2.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?

3.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?

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

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

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

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

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

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

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.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?

12.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?

13.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?

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

15.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?