Answer:
C). (-6, -3)
Step-by-step 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.
[tex](x,y)\rightarrow (kx,ky)[/tex]
We can see that coordinates of point D are (-2,-1). After dilation by scale factor of 3 coordinates of D will be:
[tex](3\cdot -2, 3\cdot -1)\rightarrow (-6,-3)[/tex]
Therefore, the coordinates of point D will be (-6,-3) and option C is the correct choice.
