Identifying multiple transformations
I can identify what transformations have taken place.
Identifying multiple transformations
I can identify what transformations have taken place.
Lesson details
Key learning points
- More than one transformation may have taken place.
- If the size has changed, one shape may be an enlargement of the other.
- If the orientation has changed, one shape may be a rotation of the other.
- If the shapes are mirrored, one shape may be a reflection of the other.
- If the shapes look identical but are in different places, one may be a translation of the other.
Common misconception
There is only one way to describe what has happened to an object to create its image.
Learning cycle 1 explores how different transformations can produce the same image. This is a good way of demonstrating that there is more than one possible description.
Keywords
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.
Vector - A vector can be used to describe a translation.
Invariant - A property of a shape is invariant if that property has not changed after the shape is transformed.
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).
Video
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Starter quiz
6 Questions
Button a -
reflects object
Button b -
selects object
Button c -
rotates object
Button d -
translates object
Shape E to shape D -
Enlargement, scale factor $$\frac{1}{2}$$, about $$(6,-3)$$
Shape D to shape C -
Reflection in the line $$x=4$$
Shape C to shape B -
Translation by $$\begin{pmatrix} 4 \\ 5 \\ \end{pmatrix}$$
Shape B to shape A -
Rotation $$90$$° anticlockwise about $$(4, 1)$$