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.

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

Teacher tip

Equipment

Tracing paper

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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.

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.

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

Q3.

The line of reflection is Line .

Correct Answer: C, c

Q4.

Shape A is reflected onto shape B. What is the equation of the line of reflection?

Correct answer: $$x= 1$$

$$y = 1$$

$$x+y = 1$$

$$x-y=1$$

Q5.

Describe this transformation fully.

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

$$y=-x$$