Use the following construction to explore dilations and answer the questions that follow.
When the 'Center' of the dilation is at the origin, the point B is (3,2) and the scale factor is 3, where is the coordinate B'?
When the scale factor is 2.5 and the center is not at the origin what is the length of A'B' divided by the length of AB?
When the scale factor is 0.7 what is the ratio of the distance from the center point to C' divided by the distance from the center point to C?