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)
Is the answer C ?
Thank you
correct
To find the coordinates for the dilation of a line segment with a given scale factor, you can multiply the coordinates of each endpoint of the original line segment by the scale factor.
In this case, the scale factor is 2, so we will multiply each coordinate of the endpoints by 2.
For the first endpoint (-1,2):
- Multiply the x-coordinate (-1) by 2: (-1) * 2 = -2
- Multiply the y-coordinate (2) by 2: 2 * 2 = 4
The new coordinates for the first endpoint are (-2,4).
For the second endpoint (3, -3):
- Multiply the x-coordinate (3) by 2: 3 * 2 = 6
- Multiply the y-coordinate (-3) by 2: -3 * 2 = -6
The new coordinates for the second endpoint are (6, -6).
So, the correct answer is C, which is (-2,4) and (6,-6).