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)
(-1*2 , 2*2) and (3*2,-3*2)
To find the coordinates for the dilation of the line segment with a scale factor of 2, we need to multiply the x and y coordinates of each endpoint by the scale factor.
Let's take the first endpoint, (-1, 2). To find the dilated coordinates, we multiply -1 (the x-coordinate) by 2 and 2 (the y-coordinate) by 2.
(-1) * 2 = -2
2 * 2 = 4
So the dilated coordinates for the first endpoint are (-2, 4).
Now let's take the second endpoint, (3, -3). Again, we multiply 3 (the x-coordinate) by 2 and -3 (the y-coordinate) by 2.
3 * 2 = 6
-3 * 2 = -6
So the dilated coordinates for the second endpoint are (6, -6).
Now we have the dilated coordinates: (-2, 4) and (6, -6).
Comparing these coordinates to the given options, we can see that the correct answer is C. (-2, 4) and (6, -6).