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'?

A) (-6, 0)
B) (3, -2)
C) (-6, -3)
Eliminate
D) (-6, -2)

Answer 1

Explanation:

the answer is C

Answer 2

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.