Question

Which point is a dilation of (-2,6) with a scale factor of 2 centered at the origin?

A. (-4,12)
B. (-1,3)
C. (4,10)
D. (-4,8)
E. (6,-12) ​

Answer 1

To find the point that is a dilation of (-2,6) with a scale factor of 2 centered at the origin, you can simply multiply each coordinate of the original point by the scale factor.

Original point: (-2, 6)
Scale factor: 2

Dilated point = (2 * x-coordinate, 2 * y-coordinate)
Dilated point = (2 * (-2), 2 * 6)
Dilated point = (-4, 12)

So, the point that is a dilation of (-2,6) with a scale factor of 2 centered at the origin is (-4, 12).

The correct choice is A. (-4,12).