# TRANSFORMATIONS SPI 3108.3.3 SPI 3108.4.10.

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TRANSFORMATIONS SPI SPI

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.

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

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

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

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

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

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

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.

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