New
New
Year 10
Higher

Checking and securing understanding of translation

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

New
New
Year 10
Higher

Checking and securing understanding of translation

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

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Lesson details

Key learning points

  1. It can be helpful to choose a vertex and translate that.
  2. Once all the vertices have been translated, the image can be drawn.
  3. The image and the object should be congruent.
  4. To translate, you need to know the distance left/right and up/down to move.

Keywords

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

  • Translation - Translation is a transformation in which every point of a shape moves the same distance in the same direction.

  • Vector - A vector can be used to describe a translation.

  • 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 write or read the column vector incorrectly by thinking the top element is for the vertical movement and the bottom element is for the horizontal movement.

Remind pupils that coordinates are horizontal before vertical and that is the same on a column vector.

If the classroom is set up in rows and columns, you could check understanding of the column vectors by asking for the vector that would translate one pupil on to the chair of another pupil.
Teacher tip

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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6 Questions

Q1.
A transformation is a process that may change the size, orientation or of a shape.
Correct Answer: position, location
Q2.
Select the pieces of information that are required to fully describe a rotation.
Correct answer: angle
Correct answer: centre
Correct answer: direction
position
size
Q3.
Shape c has been rotated 180°clockwise about (-2, 2). The image is shape .
An image in a quiz
Correct Answer: a
Q4.
Match together equivalent rotations.
Correct Answer:90° clockwise,270° anti-clockwise

270° anti-clockwise

Correct Answer:360° clockwise,720° anti-clockwise

720° anti-clockwise

Correct Answer:270° anti-clockwise,450° clockwise

450° clockwise

Correct Answer:180° anti-clockwise,180° clockwise

180° clockwise

Q5.
Shape is congruent to shape A.
An image in a quiz
Correct Answer: B
Q6.
Select the correct statements.
An image in a quiz
Shape d has been rotated 90° clockwise about (-2, 2). The image is shape c.
Correct answer: Shape d has been rotated 90° anti-clockwise about (-2, 2). The image is shape c.
Shape d has been rotated 180° clockwise about (-2, 2). The image is shape a.
Shape b has been rotated 90° clockwise about (-2, 2). The image is shape a.
Correct answer: Shape b has been rotated 270° clockwise about (-2, 2). The image is shape a.

6 Questions

Q1.
A is a transformation in which every point of a shape moves the same distance in the same direction.
Correct Answer: translation
Q2.
Select the diagrams that show a translation.
An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
Q3.
Match each description to the correct vector.
Correct Answer:2 left and 3 down,$$\begin{pmatrix} -2 \\ -3 \\ \end{pmatrix}$$

$$\begin{pmatrix} -2 \\ -3 \\ \end{pmatrix}$$

Correct Answer:2 right and 3 up,$$\begin{pmatrix} 2 \\ 3 \\ \end{pmatrix}$$

$$\begin{pmatrix} 2 \\ 3 \\ \end{pmatrix}$$

Correct Answer:3 left and 2 up,$$\begin{pmatrix} -3 \\ 2 \\ \end{pmatrix}$$

$$\begin{pmatrix} -3 \\ 2 \\ \end{pmatrix}$$

Correct Answer:3 right and 2 down,$$\begin{pmatrix} 3 \\ -2 \\ \end{pmatrix}$$

$$\begin{pmatrix} 3 \\ -2 \\ \end{pmatrix}$$

Correct Answer:2 left and 3 up,$$\begin{pmatrix} -2 \\ 3 \\ \end{pmatrix}$$

$$\begin{pmatrix} -2 \\ 3 \\ \end{pmatrix}$$

Correct Answer:3 right and 2 up,$$\begin{pmatrix} 3 \\ 2 \\ \end{pmatrix}$$

$$\begin{pmatrix} 3 \\ 2 \\ \end{pmatrix}$$

Q4.
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)
Correct answer: (6, 2)
(2, 4)
Q5.
Shape P is translated onto shape Q by the vector $$\begin{pmatrix} 2 \\ -3 \\ \end{pmatrix}$$. What transformation will map shape Q onto shape P?
Translation by $$\begin{pmatrix} -3 \\ 2 \\ \end{pmatrix}$$
Translation by $$\begin{pmatrix} 3 \\ -2 \\ \end{pmatrix}$$
$$\begin{pmatrix} 2 \\ 3 \\ \end{pmatrix}$$
Correct answer: $$\begin{pmatrix} -2 \\ 3 \\ \end{pmatrix}$$
$$\begin{pmatrix} 2 \\ -3 \\ \end{pmatrix}$$
Q6.
Select the correct statements.
An image in a quiz
Correct answer: A is translated by $$\begin{pmatrix} 4 \\ 1 \\ \end{pmatrix}$$ onto D
D is translated by $$\begin{pmatrix} 2 \\ 1 \\ \end{pmatrix}$$ onto F
Correct answer: F is translated by $$\begin{pmatrix} -2 \\ 2 \\ \end{pmatrix}$$ onto E
E is translated by $$\begin{pmatrix} 1 \\ -1 \\ \end{pmatrix}$$ onto C
C is translated by $$\begin{pmatrix} 2 \\ 0 \\ \end{pmatrix}$$ onto B