[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] [i]After interacting with this applet for a bit, please answer the questions that follow the applet.  (You'll be prompted to click the "Check This Out!" checkbox in the directions below.)  [/i][/color]

[color=#000000][b]Questions:  (Please don't click the "Check This Out!" box yet!)  [/b][/color][br][br][color=#000000]1) What vocab term would you use to describe the locations of point [i]A[/i] and [i]A'[/i] with [br]    respect to [i]O[/i]?  In essence, fill in the blank:  "The [/color][color=#980000][b]image[/b][/color][color=#000000] of a [/color][color=#ff0000]point ([i]A[/i])[/color][color=#000000] under a dilation [/color][br][color=#000000]    about another point ([/color][i]O[/i][color=#000000]) is a [/color][color=#980000][b]point ([i]A'[/i])[/b][/color][color=#000000] that is _____________________ with [/color][i]O[/i][color=#000000] and [/color][i]A[/i][color=#000000].  [/color][br][br][color=#000000]2) Click the "Check This Out!" box now.  Move point(s) [/color][i]O[/i][color=#000000] and [/color][i]A[/i][color=#000000] around.  Be sure to [br]    adjust the scale factor ([/color][i]k[/i][color=#000000]) of this dilation as well.  Describe what you observe.[br][br]3) Answer the additional questions on the sheet provided to you in class.  [br][br]  [/color]