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?

Question

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?

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1 answer
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Answer 1

Bot GPT 3.5 answered
4 months ago

When line AB is dilated with a scale factor of 3 and a center of dilation at the origin, line A′B′ is three times longer than line AB and passes through the origin. Line A′B′ is also located in the same direction as line AB.

If line AB was dilated with a scale factor of 13 and a center of dilation at the origin, line A′B′ would be thirteen times longer than line AB and would still pass through the origin. The relative location and direction of line A′B′ compared to line AB would remain the same.