Transformation
We have studied triangles and quadrilaterals in depth. In this lesson we will focus on how to transform geometric figures.
Vocabulary:
- image
- preimage
- isometry
- reflection
- translation
- rotation
A transformation is a move of an object or figure.
There are some basic terms you need to know before we go over the different types of transformations.
The original figure before the transformation is called the preimage.
The new figure after the transformation is called the image.
Isometry
A figure is said to have isometry if the figure is the same size after the transformation. Below are illustrations of transformations in which one has isometry and one that does not.
isometry
not isometry
Your Turn
Do the figures have isometry? Yes or No?
Answer: No, these figures do not have isometry. Even though they are the same shape, they are not the same size.
Transformations
Reminder: transformation is just a move of an object.
You will now learn three types of transformations:
- reflection
- rotation
- translation
Each of these transformations will always have isometry. You will see that even though a transformation of one of the types above has been made, the size of the figure will stay the same.
