Dilating a triangle on a coordinate grid.

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'?

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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?

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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?

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