New
New
Year 7

Transformed objects

I can identify whether a shape has been transformed or not.

New
New
Year 7

Transformed objects

I can identify whether a shape has been transformed or not.

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Lesson details

Key learning points

  1. There are clues that can be looked for to determine if a shape has been transformed.
  2. If the size has changed, one shape may be an enlargement of the other.
  3. If the orientation has changed, one shape may be a rotation of the other.
  4. If the shapes are mirrored, one shape may be a reflection of the other.
  5. If the shapes look identical but are in different places, one may be a translation of the other.

Keywords

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

  • Congruent - If one shape can fit exactly on top of another using rotation, reflection or translation, then the shapes are congruent.

  • Invariant - A property of a shape is invariant if that property has not changed after the shape is transformed.

Common misconception

Students may confuse reflections and rotations depending on the object.

A reflection is the only transformation that changes the sense of the object, so check that first.

The 'guess which figure' could be repeated by you choosing one and students having to ask questions to identify your choice. Tracing paper would enhance and support students learning.
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.
The is the starting figure, before a transformation has been applied.
Correct Answer: object, Object
Q2.
Which transformation changes the sense of an object?
translation
Correct answer: reflection
rotation
enlargement
Q3.
When describing a rotation, you must state three things: the centre of rotation, the amount of turn and the .
Correct Answer: direction of rotation, direction, direction of turn
Q4.
"When an object is enlarged, the image will always end up further away from the centre of enlargement." Select true or false and a justifying statement.
True
Correct answer: False
you need to count the enlarged length from the centre of enlargement
Correct answer: if the scale factor is between 0 and 1 lengths reduce. e.g. scale factor = 1/2
Q5.
A transformation has taken place in this diagram. Select all of the invariant properties.
An image in a quiz
Correct answer: lengths
Correct answer: angles
position
orientation
sense
Q6.
Complete the descriptions below by matching the transformation with the detail needed to describe it fully.
Correct Answer:A rotation,by $${270^{\circ}}$$ clockwise about (3,4).

by $${270^{\circ}}$$ clockwise about (3,4).

Correct Answer:A reflection,in the x-axis.

in the x-axis.

Correct Answer:A translation,by $${-4 \choose 2}$$

by $${-4 \choose 2}$$

Correct Answer:An enlargement,by scale factor 3 from (0, 0)

by scale factor 3 from (0, 0)

6 Questions

Q1.
Which transformation does this property table belong to?
An image in a quiz
Correct answer: translation
reflection
rotation
enlargement
Q2.
Select the diagrams that could have been a rotation.
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
Correct Answer: An image in a quiz
An image in a quiz
Q3.
The line of reflection is from both the object and image.
Correct Answer: equidistant, the same distance, equal distance
Q4.
What transformation has occurred?
An image in a quiz
Correct Answer: reflection, Reflection
Q5.
The object has been rotated about the point O, through __________.
An image in a quiz
Correct answer: $${90^{\circ}}$$ clockwise
$${90^{\circ}}$$ anti-clockwise
Correct answer: $${270^{\circ}}$$ anti-clockwise
$${270^{\circ}}$$ clockwise
Q6.
Choose the correct description for this transformation.
An image in a quiz
Correct answer: An enlargement from point O by scale factor 3.
An enlargement from point O by scale factor $${1} \over {3}$$.