Exploring Dilations
- Author:
- Mr Smith, Tim Brzezinski
- Topic:
- Dilation
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 B, and 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
tool.
Highlight a box around point A, point B, and 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 B, and 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.
tool.
Highlight a box around point A, point B, and 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.