Given a scale factor of 2, find the coordinates for the dilation of the line segment with endpoints (–1, 2) and
(3, –3).
A.(–2, 4) and (6, 6)
B.(2, 4) and (6, 6)
C.(–2, 4) and (6, –6)
D.(2, –1) and (–3, 3)
I got it you multiply the coordinates by the scale factor so it is C. :D
To find the coordinates for the dilation of the line segment with a scale factor of 2, you can multiply the coordinates of each endpoint by the scale factor.
Let's start by finding the dilation of the first endpoint, (-1, 2):
Multiply the x-coordinate by the scale factor: -1 * 2 = -2
Multiply the y-coordinate by the scale factor: 2 * 2 = 4
So the dilation of the first endpoint is (-2, 4).
Now, let's find the dilation of the second endpoint, (3, -3):
Multiply the x-coordinate by the scale factor: 3 * 2 = 6
Multiply the y-coordinate by the scale factor: -3 * 2 = -6
So the dilation of the second endpoint is (6, -6).
Therefore, the correct answer is C.(–2, 4) and (6, –6).