Exploring Dilations with different centers
- debbie.steffen, Tim Brzezinski
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.
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.
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?