Dilations Intro: What Do You Notice?

Play around with this constrution for a few minutes. As you do, carefully observe what happens. Be sure to move points A, B, and O around. Be sure to slide the slider too!
What do you notice? What do you wonder? Spare no detail!
What happens when [math]k=0[/math]?
3)
What happens when [math]k=1[/math]?
4)
What happens when [math]k[/math] lies between 0 and 1?
4)
What happens when [math]k[/math] lies between -1 and 0?
5)
What happens when [math]k>1[/math]?
5)
What happens when [math]k<-1[/math]?
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Information: Dilations Intro: What Do You Notice?