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Year 10
Foundation

Checking and securing understanding of reflection

I can describe a reflection and perform a given reflection on an object.

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New
New
Year 10
Foundation

Checking and securing understanding of reflection

I can describe a reflection and perform a given reflection on an object.

Download all resources
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Share activities with pupils
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Lesson details

Key learning points

  1. The line of reflection can be vertical/horizontal/diagonal.
  2. The line of reflection may go through part of the object.
  3. The line of reflection may not touch the object.
  4. To reflect, you need a line to reflect in.

Keywords

  • Transformation - A transformation is a process that may change the size, orientation or position of a shape.

  • Reflection - A reflection of a shape is the mirror image of the shape. An object is reflected when it is flipped over a fixed line (line of reflection), without the image being turned or its size changing.

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

  • Object - The object is the starting figure, before a transformation has been applied.

  • Image - The image is the resulting figure, after a transformation has been applied.

Common misconception

Pupils may find reflecting across a diagonal line more challenging than vertically or horizontally.

Pupils may find it easier with tracing paper, or rotating their book/paper so the line of reflection is vertical.

You may wish to revisit equations of horizontal, vertical and diagonal lines before this lesson.
Teacher tip

Equipment

Tracing paper

Licence

This content is © Oak National Academy Limited (2024), 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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Starter quiz

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6 Questions

Q1.
A translation is a in which every point of a shape moves the same distance in the same direction.
Correct Answer: transformation
Q2.
Match each description to the correct vector.
Correct Answer:4 left and 5 down,$$\begin{pmatrix} -4 \\ -5 \\ \end{pmatrix}$$

$$\begin{pmatrix} -4 \\ -5 \\ \end{pmatrix}$$

Correct Answer:4 right and 5 up,$$\begin{pmatrix} 4 \\ 5 \\ \end{pmatrix}$$

$$\begin{pmatrix} 4 \\ 5 \\ \end{pmatrix}$$

Correct Answer:5 left and 4 up,$$\begin{pmatrix} -5 \\ 4 \\ \end{pmatrix}$$

$$\begin{pmatrix} -5 \\ 4 \\ \end{pmatrix}$$

Correct Answer:5 right and 4 down,$$\begin{pmatrix} 5 \\ -4 \\ \end{pmatrix}$$

$$\begin{pmatrix} 5 \\ -4 \\ \end{pmatrix}$$

Correct Answer:4 left and 5 up,$$\begin{pmatrix} -4 \\ 5 \\ \end{pmatrix}$$

$$\begin{pmatrix} -4 \\ 5 \\ \end{pmatrix}$$

Correct Answer:5 right and 4 up,$$\begin{pmatrix} 5 \\ 4 \\ \end{pmatrix}$$

$$\begin{pmatrix} 5 \\ 4 \\ \end{pmatrix}$$

Q3.
The point P(4, 3) is translated by the vector $$\begin{pmatrix} -2 \\ 1 \\ \end{pmatrix}$$ to P'. What are the coordinates of P'?
(6, 4)
(2, 2)
(8, 6)
(6, 2)
Correct answer: (2, 4)
Q4.
Shape P is translated onto shape Q by the vector $$\begin{pmatrix} -3 \\ 2\\ \end{pmatrix}$$. What transformation will map shape Q onto shape P?
Translation by $$\begin{pmatrix} -3 \\ 2 \\ \end{pmatrix}$$
Correct answer: Translation by $$\begin{pmatrix} 3 \\ -2 \\ \end{pmatrix}$$
$$\begin{pmatrix} 2 \\ 3 \\ \end{pmatrix}$$
$$\begin{pmatrix} -2 \\ 3 \\ \end{pmatrix}$$
$$\begin{pmatrix} 2 \\ -3 \\ \end{pmatrix}$$
Q5.
Select the correct statements.
An image in a quiz
B is translated by $$\begin{pmatrix} 0 \\ 2 \\ \end{pmatrix}$$ onto C
Correct answer: C is translated by $$\begin{pmatrix} 1 \\ -2 \\ \end{pmatrix}$$ onto D
Correct answer: D is translated by $$\begin{pmatrix} 1 \\ 3 \\ \end{pmatrix}$$ onto E
E is translated by $$\begin{pmatrix} -1 \\ -1\\ \end{pmatrix}$$ onto F
Correct answer: F is translated by $$\begin{pmatrix} -7 \\ -2\\ \end{pmatrix}$$ onto A
Q6.
Match each line to its equation.
An image in a quiz
Correct Answer:Line A,$$x$$ = -3

$$x$$ = -3

Correct Answer:Line B,$$y$$ = 2

$$y$$ = 2

Correct Answer:Line C,$$y$$ = $$x$$

$$y$$ = $$x$$

Correct Answer:Line D,$$x$$ = 2

$$x$$ = 2

Correct Answer:Line E,$$y$$ = -3

$$y$$ = -3

Exit quiz

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6 Questions

Q1.
A reflection of a shape is the image of the shape.
Correct Answer: mirror
Q2.
Which of these diagrams show a reflection?
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
Q3.
The line of reflection is Line .
An image in a quiz
Correct Answer: C, c
Q4.
Shape A is reflected onto shape B. What is the equation of the line of reflection?
An image in a quiz
Correct answer: $$x= 1$$
$$y = 1$$
$$x+y = 1$$
$$x-y=1$$
Q5.
Describe this transformation fully.
An image in a quiz
A rotation of 180° about the origin
A translation by the vector $$\begin{pmatrix} 3 \\ -3 \\ \end{pmatrix}$$
A reflection in the line $$y=-x$$
Correct answer: A reflection in the line $$y=x$$
A rotation of 180° clockwise about the origin
Q6.
The point $$P$$ has coordinates $$(3, -2)$$. $$P$$ is reflected in different lines of reflection. Match the coordinates of the image of $$P$$ to the equation of the line of reflection.
Correct Answer:$$P'(3, 2)$$,$$y = 0$$

$$y = 0$$

Correct Answer:$$P'(-3, -2)$$,$$x= 0$$

$$x= 0$$

Correct Answer:$$P'(-2, 3)$$,$$y=x$$

$$y=x$$

Correct Answer:$$P'(2, -3)$$,$$y=-x$$

$$y=-x$$