# Dilations

## Dilate this triangle by a scale factor of 2.

## Is this what you got?

## Why does the location matter? Aren't both of the big triangles two times larger than the small triangle?

## Not only is the image two times bigger, it is two times further away from the origin! That is why the location mattered.

## Let's examine this by looking at the slope of each line.

## What if it is dilated by a scale factor of 3? It is three times bigger and three times further away from the origin.

## How would you dilate this triangle by a scale factor of 2 about (-1, 3)?

## Dilate the First Point

## Dilate the Second Point

## Dilate the Third Point

## Examine Slopes.

## Can you identify the center of dilation based on the image and pre-image?

## We know the scale factor is 2, but what is unique about the slope of the lines connecting the image and pre-image points?

## Examine Slopes.

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