Choose exam board for KS4 Computer Science (GCSE)
Choose exam board for KS4 English
Choose exam board for KS4 French
Choose exam board for KS4 Geography
Choose exam board for KS4 German
Choose exam board for KS4 History
Choose tier for KS4 Maths
Choose exam board for KS4 Music
Choose exam board for KS4 Physical education (GCSE)
Choose exam board for KS4 Religious education (GCSE)
Choose exam board for KS4 Spanish

      Reflect polygons in a line of symmetry

      Lesson details

      Learning outcome

      I can reflect polygons in a line of symmetry, including when there are no sides parallel to the line of symmetry.

      Key learning points

      1. When you reflect a shape, it will be the same distance from the mirror line on both sides.
      2. You can reflect a shape by counting the position of each vertex and making a mark, and then joining the marks.

      Keywords

      • Line of symmetry - If you were to fold a shape on its line of symmetry, both halves would match exactly.

      • Mirror line - Another term for a line of symmetry. If you were to fold a shape on its line of symmetry, both halves would match exactly.

      • Reflect - When you reflect a shape, you flip it over a mirror line or line of symmetry without turning it or changing the size.

      • Reflection - The mirror image of a shape.

      Common misconception

      Children may translate or copy a shape rather than 'flipping it' over the line of symmetry.

      Use mirrors to support children's understanding of how a shape flips when it is reflected. Explore this idea with a wide variety of shapes.

      Teacher tip

      Although children are taught different strategies to reflect shapes in this lesson, they may benefit from using a mirror to support their understanding of reflective symmetry.

      Licence

      This content is © Oak National Academy Limited (2025), licensed on Open Government Licence version 3.0
      except where otherwise stated. See Oak's terms & conditions
      (Collection 2).

      Lesson video

      Loading...

      Prior knowledge starter quiz

      6 Questions

      Q1.
      Which of these shapes are regular polygons?

      Correct answer: Equilateral triangle
      Rectangle
      Correct answer: Square
      Trapezium

      Q2.
      An equilateral triangle has ___ lines of symmetry.

      0
      1
      2
      Correct answer: 3

      Q3.
      This shape is a regular pentagon. It has lines of symmetry.

      An image in a quiz
      Correct Answer: 5

      Q4.
      The number of lines of symmetry in a __________ is equal to the number of sides.

      quadrilateral
      triangle
      Correct answer: regular polygon

      Q5.
      True or false. An isosceles triangle has 3 lines of symmetry.

      An image in a quiz
      True
      Correct answer: False

      Q6.
      Which statement is true?

      Squares and rectangles both have 4 lines of symmetry.
      A rectangle has more lines of symmetry than a square.
      Correct answer: A square has 4 lines of symmetry, and a rectangle has 2 lines of symmetry.
      Squares and rectangles are both regular polygons.

      6 Questions

      Q1.
      The mirror image of a shape is a __________ of it.

      Correct answer: reflection
      larger shape
      smaller shape

      Q2.
      Which image shows a reflection?

      a)
      Correct answer: b)
      c)

      Q3.
      True or false. This image shows a reflection.

      An image in a quiz
      True
      Correct answer: False

      Q4.
      Which image shows a reflection?

      Correct answer: a)
      b)
      c)

      Q5.
      Sam is using vertices to reflect this shape. Which vertex has been placed in the wrong position on the grid?

      An image in a quiz
      a)
      Correct answer: b)
      c)

      Q6.
      Complete the sentence. This image does not show a reflection because __________.

      An image in a quiz
      The 'reflected' shape is a different size.
      Correct answer: The 'reflected' shape is not the same distance from the mirror line.
      The 'reflected' shape has not been flipped.

      To help you plan your 4 maths lesson on: Reflect polygons in a line of symmetry, download all teaching resources for free and adapt to suit your pupils' needs...