Dilating a Point (Intro)

[color=#000000]The following applet illustrates what it means to dilate a point about another point.  [br][br]You can move [b]point [i]O [/i](the center of dilation)[/b] and [/color][color=#ff0000][b]point [i]A[/i][/b][/color][color=#000000] anywhere in the plane.  [br]You can also change the [b]scale factor ([i]k[/i])[/b] of this dilation by either moving the slider or[br]by typing it in the white box at the top of the applet.[br][/color][b][color=#980000][i]A' = [/i]the image of point [i]A[/i] under dilation about point [i]O[/i] with scale factor [i]k[/i].  [br][/color][/b][br][color=#000000][b]Interact with the applet below for a few minutes [i]BEFORE[/i] clicking the "Check This Out!" checkbox in the lower right corner. [/b] [/color]
2) Click the "Check This Out!" box now.  Move point(s) [i]O[/i] and [i]A[/i] around.  Be sure to [br]    adjust the scale factor ([i]k[/i]) of this dilation as well.  Describe what you observe.
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Information: Dilating a Point (Intro)