When line AB is dilated with a scale factor of 3 and a center of dilation at the origin, each point on line AB is moved away from the origin by a distance that is three times its original distance. This results in line A′B′ being parallel to line AB, maintaining the same slope but positioned further from the origin. The intersection points of line AB with the axes will also be scaled by the factor of 3, causing them to be farther from the origin. If the scale factor were instead 13, the effect would be similar, with line A′B′ still parallel to line AB, but the distance from the origin would be 13 times greater, leading to an even more significant separation between the two lines.
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? 4 sentences
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