Given a scale factor of 2, find the coordinates for the dilation of the line segment with endpoints (–1, 2) and (3, –3). The center of the dilation is the origin.
(–2, 4) and (6, 6)
(2, 4) and (6, 6)
(–2, 4) and (6, –6)
(2, –1) and (–3, 3)
To find the coordinates for the dilation of a line segment with a scale factor of 2, we multiply the coordinates of each endpoint by the scale factor. Given that the center of dilation is the origin, the coordinates for the dilation of the line segment are:
Endpoint 1: (–1, 2)
Dilated Endpoint 1: (–1 * 2, 2 * 2) = (–2, 4)
Endpoint 2: (3, –3)
Dilated Endpoint 2: (3 * 2, –3 * 2) = (6, –6)
Therefore, the correct answer is:
(–2, 4) and (6, –6)