Exploring Dilations: Ex. 19
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!
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.