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      Reflecting objects

      Lesson details

      Learning outcome

      I can reflect objects using a range of lines of reflection

      Key learning points

      1. The line of reflection may go through part of the object.
      2. The line of reflection may not touch the object.
      3. Tracing paper can be a useful tool for performing reflections.

      Keywords

      • Line of reflection - The line of reflection is the line about which an object is reflected. The object and image are equidistant from the line of reflection.

      Common misconception

      Diagonal reflections that incorrectly look like rotations or translations of the object.

      False reflections that look like this are due to students not counting diagonals of grid squares, perpendicular to the mirror line.

      Teacher tip

      The first learning cycle's "I do, you do", perform each handful of steps (split up by slide) completely before asking the students to copy the steps for their example. Student example is simply to allow students to copy the diagram down if suitable.

      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

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      Prior knowledge starter quiz

      6 Questions

      Q1.
      The is equidistant from corresponding points on the object and its reflected image.

      Correct Answer: line of reflection, reflection line, mirror line

      Q2.
      Which of these coordinates is suitable for defining the location of the line of reflection for this reflection?

      An image in a quiz
      (6, 0)
      Correct answer: (2, 6)
      Correct answer: (7, 6)
      (12, 8)
      (12, 4)

      Q3.
      Complete this sentence for the following description of a reflection: "A __________ reflection with line of reflection passing through the coordinates (9, 0) and (9, 30)"

      An image in a quiz
      Correct answer: horizontal
      vertical
      diagonal

      Q4.
      Which of these coordinates lies on the line of reflection for this example?

      An image in a quiz
      Correct answer: (10, 4)
      (6, 2)
      (14, 2)
      Correct answer: (10, 2)
      (7, 7)

      Q5.
      Which of these statements are valid for describing this reflection?

      An image in a quiz
      a horizontal reflection
      Correct answer: a vertical reflection
      with a line of reflection through the points (3, 3) and (3, 11)
      with a line of reflection through the points (4, 1) and (4, 13)
      Correct answer: with a line of reflection through the points (3, 7) and (6, 7)

      Q6.
      Which of these coordinates is suitable for defining the location of the line of reflection for this reflection?

      An image in a quiz
      (6, 2)
      Correct answer: (9, 5)
      (12, 8)
      Correct answer: (7, 7)
      Correct answer: (6, 8)

      6 Questions

      Q1.
      Which of these properties change when an object is reflected?

      lengths of sides
      size of angles
      Correct answer: orientation
      Correct answer: position
      Correct answer: sense

      Q2.
      Which of these things must you draw onto the tracing paper when reflecting using tracing paper?

      Correct answer: the object
      the $$x$$-axis or $$y$$-axis
      Correct answer: the line of reflection
      an extra × marked on the object
      Correct answer: an extra × marked on the line of reflection

      Q3.
      Write down the coordinates for the reflection of vertex A in the line of reflection drawn.

      An image in a quiz
      Correct Answer: (16, 7), (16,7), 16,7

      Q4.
      Write down the coordinates for the reflection of vertex B in the line of reflection drawn.

      An image in a quiz
      Correct Answer: (12, 9), (12,9)

      Q5.
      This object is reflected in a line passing through the coordinates (10, 0) and (10, 5). Write down the coordinates for the reflection of vertex C in the line of reflection.

      An image in a quiz
      Correct Answer: (18, 6), (18,6), 18,6

      Q6.
      This object is reflected in a line passing through the coordinates (0, 8) and (5, 3). Write down the coordinates for the reflection of vertex D in the line of reflection.

      An image in a quiz
      Correct Answer: (7, 6), (7,6), 7,6

      To help you plan your 7 maths lesson on: Reflecting objects, download all teaching resources for free and adapt to suit your pupils' needs...