Describing a translation | Maths | Quizalize & Oak National Academy

Starter quiz

______ is a transformation in which every point of a shape moves the same distance in the same direction.
- 'Translation' ✓
Which of these images do not show a translation?
Which one of the following shapes cannot be translated onto one of the other shapes? [IMG 7.10.3.s3]
- '4' ✓
When a translation takes place, the invariant properties of a shape are
- position
- lengths ✓
- angles ✓
- orientation ✓
Which of these contains a non-translated shape?
Which of the figures matches Alex’s description?

Displacement is the ______ from the starting point when measured in a straight line.
- 'distance' ✓
${2\choose 1}$ is a column vector. It has two numbers. Match each number with its meaning.
- The top number, 2, is the
  
  ⇔
  
  horizontal displacement ✓
- The bottom number, 1, is the
  
  ⇔
  
  vertical displacement ✓
Which vector matches this translation?
- ${-3 \choose 1}$ ✓
- ${-1 \choose 1}$
- ${3 \choose -1}$
- ${-2 \choose 1}$
- ${1 \choose -3}$
Which of the following shows a translation by ${2 \choose -3}$ ?
Match the vector to the description.
- ${-4 \choose 1}$
  
  ⇔
  
  left by 4 units and up by 1 unit ✓
- ${4 \choose 1}$
  
  ⇔
  
  right by 4 units and up by 1 unit ✓
- ${-4 \choose -1}$
  
  ⇔
  
  left by 4 units and down by 1 unit ✓
- ${4 \choose -1}$
  
  ⇔
  
  right by 4 units and down by 1 unit ✓
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.
- '(5, 9)' ✓

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

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.

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.