Question

If rectangle DEFG is dilated by a scale factor of 3 with a dilation center of (0, 0), what will be the coordinates of point D'?

Answer 1

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.

$(x,y)\rightarrow (kx,ky)$

We can see that coordinates of point D are (-2,-1). After dilation by scale factor  of 3 coordinates of D will be:

$(3\cdot -2, 3\cdot -1)\rightarrow (-6,-3)$

Therefore, the coordinates of point D will be (-6,-3) and option C is the correct choice.

Answer 2

The coordinate of D is (-2, -1)
applying a scale factor of 3 through a dilation would mean you would have to multiply the coordinate values by the scale factor which would result in (-6,-2)