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
C is correct.
To find the coordinates for the dilation of a line segment, you multiply the coordinates of each endpoint by the scale factor.
Given a scale factor of 2 and line segment with endpoints (-1,2) and (3,-3), we can find the dilation as follows:
Endpoint 1: (-1, 2)
Multiply the x-coordinate by 2: -1 * 2 = -2
Multiply the y-coordinate by 2: 2 * 2 = 4
Dilated endpoint 1: (-2, 4)
Endpoint 2: (3, -3)
Multiply the x-coordinate by 2: 3 * 2 = 6
Multiply the y-coordinate by 2: -3 * 2 = -6
Dilated endpoint 2: (6, -6)
Therefore, the correct answer is option C. (-2,4) and (6,-6).
Yes, the answer is C. To find the dilation of a line segment, you multiply each coordinate by the scale factor. In this case, the scale factor is 2.
For the first coordinate (-1,2), the dilation will be (-1*2, 2*2) = (-2,4).
For the second coordinate (3,-3), the dilation will be (3*2, -3*2) = (6,-6).
Therefore, the coordinates for the dilation of the line segment with endpoints (-1,2) and (3,-3) are (-2,4) and (6,-6), which matches option C.