1) Select the slider tool to create a slider. [br] Name the slider [b]k[/b]. [br] Set Min = -5, Max = 5, Increment = 0.1[br][br]2) Select the DILATE FROM POINT [icon]/images/ggb/toolbar/mode_dilatefrompoint.png[/icon] tool. [br] Highlight a box around [b][color=#cc0000]point [i]A[/i][/color][/b], [color=#1e84cc][b]point [i]B[/i][/b][/color], and [b][color=#980000]Curious George's picture[/color][/b]. [br] Then select point [i]C[/i] (to serve as center of dilation)[br] In the pop-up box that appears, enter "k" (without the " " 's) to serve as the scale factor. [br][br]3) Select the Move tool. [b]Explore! [/b][br][br]Please answer the questions that appear below the applet.
Suppose point [i]P[/i] = ([i]a[/i], [i]b[/i]) is dilated about (0,0) with scale factor [i]k[/i]. [br]What would the coordinates of the image of [i]P[/i] be? [br]Express these coordinates in terms of [i]a[/i], [i]b[/i], and/or [i]k[/i].
[math]P'=\left(ka,kb\right)[/math]
Suppose point [i]P[/i] = ([i]a[/i], [i]b[/i]) is dilated about ([i]c[/i], [i]d[/i]) with scale factor [i]k[/i]. [br]What would the coordinates of the image of [i]P[/i] be? [br]Express these coordinates in terms of [i]c[/i], [i]d[/i], [i]a[/i], [i]b[/i] and/or [i]k[/i].
[math]P'=\left(c+ka,d+kb\right)[/math]
[color=#0000ff]When you're done (or if you're unsure of something), feel free to check by watching the quick silent screencast below the applet.[/color]