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).

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6 Questions

Q1.
is a transformation in which every point of a shape moves the same distance in the same direction.
Correct Answer: Translation, translation
Q2.
Which of these images do not show a translation?
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
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]
An image in a quiz
Correct Answer: 4
Q4.
When a translation takes place, the invariant properties of a shape are
position
Correct answer: lengths
Correct answer: angles
Correct answer: orientation
Q5.
Which of these contains a non-translated shape?
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
Q6.
Which of the figures matches Alex’s description?
An image in a quiz
Correct Answer: An image in a quiz
An image in a quiz
An image in a quiz
An image in a quiz

6 Questions

Q1.
Displacement is the from the starting point when measured in a straight line.
Correct Answer: distance
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?
An image in a quiz
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
An image in a quiz
An image in a quiz
An image in a quiz
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