# Exploring Dilations with different centers

- Author:
- debbie.steffen, Tim Brzezinski

- Topic:
- Dilation

## DIRECTIONS:

1) Select the slider tool to create a slider.
Name the slider

**k**. Set Min = -5, Max = 5, Increment = 0.1 2) Select the DILATE FROM POINT tool. Highlight a box around**point**,*A***point**, and*B***Curious George's picture**. Then select point*C*(to serve as center of dilation) In the pop-up box that appears, enter "k" (without the " " 's) to serve as the scale factor. 3) Select the Move tool.**Explore!**Please answer the questions that appear below the applet.## 4)

Suppose point *P* = (*a*, *b*) is dilated about (0,0) with scale factor *k*.
What would the coordinates of the image of *P* be?
Express these coordinates in terms of *a*, *b*, and/or *k*.

## 5)

Suppose point *P* = (*a*, *b*) is dilated about (*c*, *d*) with scale factor *k*.
What would the coordinates of the image of *P* be?
Express these coordinates in terms of *c*, *d*, *a*, *b* and/or *k*.

When you're done (or if you're unsure of something), feel free to check by watching the quick silent screencast below the applet.

## Quick (Silent) Demo

What do you think you were expected to learn from this exploration?