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!
1)
What do you notice? What do you wonder? Spare no detail!
2)
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?
5)
What happens when [math]k[/math] lies between -1 and 0?
6)
What happens when [math]k>1[/math]?
7)
What happens when [math]k<-1[/math]?
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!
8)
Check the box [math]\frac{OA'}{OA}[/math] in the upper right corner. How does the ratio [math]\frac{OA'}{OA}[/math] compare to the scale factor [i][b]k[/b][/i]? (Be sure to move points and slider around!)
9)
Check the box [math]\frac{OB'}{OB}[/math] in the upper right corner. How does the ratio [math]\frac{OB'}{OB}[/math] compare to the scale factor [i][b]k[/b][/i]? (Be sure to move points and slider around!)
10)
Check the box [math]\frac{A'B'}{AB}[/math] in the upper right corner. How does the ratio [math]\frac{A'B'}{AB}[/math] compare to the scale factor [i][b]k[/b][/i]? (Be sure to move points and slider around!)
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