To find the dilation of a line segment, we multiply the distance between the endpoints by the scale factor and then add the result to the x-coordinate of the first endpoint to get the x-coordinate of the new endpoint, and we do the same thing for the y-coordinate.
For the x-coordinate of the new endpoint, we have:
-1 + 2(3 - (-1)) = -1 + 2(4) = 7
For the y-coordinate of the new endpoint, we have:
2 + 2(-3 - 2) = 2 + 2(-5) = -8
Therefore, the dilation of the line segment with endpoints (-1,2) and (3,-3) with a scale factor of 2 is (-1,2) -> (7,-8).
Given a scale factor of 2, find a coordinates for the dilation of the line segment with endpoints (-1,2) and (3,-3)
1 answer