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)

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.

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

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

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good luck on your studies! : )

david edward.