New
New
Year 7

# Describing a translation

I can understand the minimum information required to describe a translation.

New
New
Year 7

# Describing a translation

I can understand the minimum information required to describe a translation.

## Lesson details

### Key learning points

1. A translation can be described in terms of left/right and up/down.
2. To be more precise, it is useful to have a scale to provide units of measurement.
3. It is important to give both direction and distance.
4. Direction and distance can be combined through use of displacement.

### Common misconception

Students may count between the closest two vertices rather than corresponding points.

Remind frequently that it needs to be between corresponding vertices, labelling may help for this.

### Keywords

• Displacement - Displacement is the distance from the starting point when measured in a straight line.

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

You could have the students come up with the questions to determine the correct figure. You could provide a copy of the image and students describe to a partner.
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).

## Starter quiz

### 6 Questions

Q1.
is a transformation in which every point of a shape moves the same distance in the same direction.
Q2.
Which of these images do not show a translation?
Correct Answer: An image in a quiz
Correct Answer: An image in a quiz
Q3.
Which one of the following shapes cannot be translated onto one of the other shapes? [IMG 7.10.3.s3]
Q4.
When a translation takes place, the invariant properties of a shape are
position
Q5.
Which of these contains a non-translated shape?
Correct Answer: An image in a quiz
Q6.
Which of the figures matches Alex’s description?
Correct Answer: An image in a quiz

## Exit quiz

### 6 Questions

Q1.
Displacement is the from the starting point when measured in a straight line.
Q2.
$${2\choose 1}$$ is a column vector. It has two numbers. Match each number with its meaning.
Correct Answer:The top number, 2, is the,horizontal displacement

horizontal displacement

Correct Answer:The bottom number, 1, is the ,vertical displacement

vertical displacement

Q3.
Which vector matches this translation?
Correct answer: $${-3 \choose 1}$$
$${-1 \choose 1}$$
$${3 \choose -1}$$
$${-2 \choose 1}$$
$${1 \choose -3}$$
Q4.
Which of the following shows a translation by $${2 \choose -3}$$?
Correct Answer: An image in a quiz
Q5.
Match the vector to the description.
Correct Answer:$${-4 \choose 1}$$,left by 4 units and up by 1 unit

left by 4 units and up by 1 unit

Correct Answer:$${4 \choose 1}$$,right by 4 units and up by 1 unit

right by 4 units and up by 1 unit

Correct Answer:$${-4 \choose -1}$$,left by 4 units and down by 1 unit

left by 4 units and down by 1 unit

Correct Answer:$${4 \choose -1}$$,right by 4 units and down by 1 unit

right by 4 units and down by 1 unit

Q6.
A triangle ABC is translated. The corresponding coordinates are A(1,5) and $$A^{\prime}$$(2,7), B(5,8) and $$B^{\prime}$$(6, 10). C has coordinates (4,7). Work out the coordinates of the image of C.
Correct Answer: (5, 9), (5,9), 5,9, 5, 9