1. TRANSFORMATIONS
SPI
SPI

2. TYPES OF TRANSFORMATIONS
Reflection – The flip of a figure over a line to produce a mirror image.
Rotation – A geometric turn of a figure around a fixed point.
Translation – The slide of a figure from one position to another.
Dilation – A transformation that alters the size of a figure, but not its shape.

3. Preimage to Image B’ A’ C’ B
Its matching point on the corresponding figure is called its image. D’ A C D
Each point on the original figure is called the Preimage

4. Reflections
REFLECTION – The flip of a figure over a line to produce a mirror image.

5. Coordinate Reflection
The triangle is reflected about the x-axis. Each point is equal distance from the x-axis.

6. Coordinate Translation
Each point is translated 3 points to the right and 5 points up.

7. Rotation
ROTATION – A geometric turn of a figure around a fixed point. D’ A’
900 P D A

8. Translation
Slide
TRANSLATION– The slide of a figure from one position to another.

9. Dilation
Dilation is altering the size of the figure by k = n . The dilation of this figure is k = 3. The image is 3 times bigger than the preimage.
DILATION – A transformation that alters the size of a figure, but not its shape.

10. Coordinate Dilation
Each point is multiplied by k to find the dilation.