# Exploring Dilations

## PART 1 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!**4) Answer questions below APP## QUESTIONS

What is the image of point A if k =4 ?
What is the image of point B if k=-3 ?
CHALLENGE
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*. SWITCH JOBS !!!## PART 2 DIRECTIONS:

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

**t**. 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*P*(to serve as center of dilation) In the pop-up box that appears, enter "t" (without the " " 's) to serve as the scale factor. 3) Explore this new Applet. Please answer the questions that appear below the applet.## 5)

If point A(4,3) was dilated about (3,0) with scale factor 3, what would be the coordinates of the image?
If point B(10,2) was dilated about (4,-3) with scale factor -2, what would be the coordinates of the image?
CHALLENGE
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*.