Dilating a Point (Intro)

The following applet illustrates what it means to dilate a point about another point.   You can move point O (the center of dilation) and point A anywhere in the plane.   You can also change the scale factor (k) of this dilation by either moving the slider or by typing it in the white box at the top of the applet. A' = the image of point A under dilation about point O with scale factor k.   Interact with the applet below for a few minutes BEFORE clicking the "Check This Out!" checkbox in the lower right corner.  

2) Click the "Check This Out!" box now.  Move point(s) O and A around.  Be sure to      adjust the scale factor (k) of this dilation as well.  Describe what you observe.