When line AB is dilated with a scale factor of 3 and a center of dilation at the origin, every point on line AB is moved away from the origin, becoming three times farther from the origin while maintaining its direction. This results in a new line, A′B′, that is parallel to the original line AB and also does not pass through the origin. If the scale factor were increased to 13, the points on line AB would move even farther from the origin, becoming thirteen times their original distance while still remaining parallel. In both cases, the orientation of the line remains unchanged, but the distance from the origin increases with a larger scale factor.
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?
(answer this in 4-5 simple sentences please)
1 answer