Line AB is on the coordinate plane and does not pass through the origin. Line AB is dilated with a scale factor of 3 and a center of dilation at the origin to create line A′B′. Describe the effect of the dilation on line AB. In particular, make sure to describe the relative location and size of line A′B′ compared to line AB. If Line AB was dilated with a scale factor of 13, how would your answer change?(4 points)

2 answers

The effect of the dilation on line AB is that line A′B′ is three times larger than line AB and is located in the same direction as line AB, but is shifted away from the origin. If Line AB was dilated with a scale factor of 13, line A′B′ would be thirteen times larger than line AB and would still be located in the same direction as line AB, but shifted further away from the origin.
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