1. Isometries

2. Definition of Transformation
In a plane, a mapping is a transformation if each preimage point has exactly one image point, and each image point has exactly one preimage point.

3. Types of Transformations
dilation – A figure can be enlarged or reduced.
preimage
image

4. rotation – A figure can be turned.
preimage
image

5. Translation - A figure can be slid.
preimage
image

6. reflection – A figure can be flipped.
preimage
image

7. When a geometric figure and its transformation image are congruent, the mapping is called an isometry or a congruence transformation.

8. Defn. of Isometry (Congruence Transformation)
In a plane, an isometry is a transformation that maps every segment to a congruent segment.

9. The symbol is used to indicate a mapping
The symbol is used to indicate a mapping. For example, means each point in is mapped onto exactly one point of
When a figure and its transformation image are similar, the mapping is called a similarity transformation.

10. Joke Time
What’s a quick way to double your money?
You fold it!

11. What does a pickle say when he wants to play cards?
Dill me in!