Change the scale factor, center of dilation and segment endpoints to explore the properties of a dilation of a segment.

Answer the questions below as you manipulate the sketch.
1) When the scale factor is 2 where is point B on the segment AX?
2) When the scale factor is 3 what ratio does point B partition the segment AX into?
3) What is the relationship between the length of AB compared to the length of BX? AX? Which ratio AB:BX or AB:AX is the same as the scale factor? why?
4) What happens to the image segment when you move the center of the dilation (point A)?
5) How can you create the coordinates of Y using the coordinates of C and the scale factor?