Answer:
C). (-6, -3)
Explanation:
We have been given a rectangle DEFG on coordinate plane. We are asked to find the coordinates of point D after a dilation by a scale factor of 3 with center of dilation at origin (0,0).
Since dilating a figure by a scale factor (k), we multiply the coordinates of all points of the figure by the scale factor k.
(x,y) → (kr, ky)
We can see that coordinates of point D are (-2,-1). After dilation by scale factor of 3 coordinates of D will be:
(3-2,3-1)→ (-6,-3)
Therefore, the coordinates of point D will be (-6,-3) and option C is the correct choice.
