(Please answer correctly, take your time)

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 effects of the dilation on Line AB . If line AB was dilated with a scale factor of 13 , how would your answer change?

1 answer

When line AB is dilated with a scale factor of 3 and a center of dilation at the origin to create line A′B′, the length of line AB is multiplied by 3 to create line A′B′. This means that line A′B′ will be three times longer than line AB but will have the same slope and direction.

If line AB was dilated with a scale factor of 13, the effects of the dilation would be magnified. Line A′B′ would be thirteen times longer than line AB and would follow the same slope and direction. The overall effect of the dilation would be to stretch line AB by a factor of 13, creating a much longer line.
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