Robinson Tuition
Grade 2 · Foundation · free GCSE maths worksheet

Lines of symmetry

Drawing and counting mirror lines.

14 original questions, 31 marks. Print the worksheet, mark it with the answers sheet, and use the solutions to see every step written out by hand.

Worksheet PDFWorked solutions PDFAnswers PDF

The questions

1

How many lines of symmetry does a square have?

1 mark
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4
2

Write down the number of lines of symmetry of each letter.

  1. H
  2. A
  3. S
3 marks
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a) 2 b) 1 c) 0
3
  1. Write down the number of lines of symmetry of a square.
  2. Write down the number of lines of symmetry of a rectangle that is not a square.
2 marks
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a) 4 b) 2
4

Write down the number of lines of symmetry of

  1. a regular pentagon
  2. a rectangle that is not a square
2 marks
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a) 5 b) 2
5
  1. Write down the order of rotational symmetry of a regular hexagon.
  2. Write down the number of lines of symmetry of a regular hexagon.
2 marks
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a) 6 b) 6
6

The diagram shows a rectangle that is not a square.

Draw all the lines of symmetry on the rectangle.

2 marks
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Two lines: one vertical and one horizontal, each through the middle of opposite sides
7

Chen says, "A rectangle has 4 lines of symmetry."

Is Chen correct? Give a reason.

2 marks
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No, a rectangle has only 2 lines of symmetry
8

Write down the name of a quadrilateral that has

  1. exactly one line of symmetry
  2. no lines of symmetry
2 marks
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a) kite or isosceles trapezium b) parallelogram (or any quadrilateral with no equal sides or angles)
9

The grid has 2 rows and 4 columns. A dotted vertical line of symmetry runs between column 2 and column 3. Squares shaded so far are shown in the table (S = shaded, blank = not shaded).

Col 1Col 2Col 3Col 4
Row 1SS
Row 2S

Which squares must also be shaded so the pattern is symmetrical about the dotted line? Give each as (row, column).

2 marks
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(1, 3), (1, 4), (2, 4)
10

On the centimetre grid, draw a quadrilateral that has exactly two lines of symmetry and no right angles.

2 marks
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Any rhombus that is not a square, e.g. vertices (2,0), (4,3), (2,6), (0,3)
11

The diagram shows part of a shape drawn on a centimetre grid, together with a dashed vertical line.

Complete the shape so that the dashed line is a line of symmetry of the completed shape.

2 marks
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The mirror image of the given half drawn correctly on the other side of the dashed line
12

Here is the left half of a shape. The dotted line is a line of symmetry.

  1. Complete the shape so that the dotted line is a line of symmetry.
  2. Write down the mathematical name of the shape you have drawn.
3 marks
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a) mirror image drawn on the right: top vertex (3, 6), side vertex (5, 4), bottom vertex (3, 0) b) kite
13

The diagram shows an equilateral triangle.

  1. Draw all the lines of symmetry on the triangle.
  2. How many lines of symmetry does it have?
3 marks
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a) three lines, each from a corner to the midpoint of the opposite side b) 3
14

The diagram shows a regular hexagon.

  1. Draw all the lines of symmetry on the hexagon.
  2. Write down the number of lines of symmetry of a regular hexagon.
3 marks
Show answer
a) six lines: 3 joining opposite corners and 3 joining midpoints of opposite sides b) 6

Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.

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