A figure is dilated by a scale factor of 4. If the origin is the center of dilation, what are the coordinated in the original figure of a vertex located at (8,8) in the enlarged figure?

A/(2,2)
B/(4,4)

I think it would be A because if you do (2,2) and multiply both the 2's by 4 you will get (8,8). I hope this helps.

C/(32,32)

D/(16,16)

Hmm, let me think about this... If the figure is dilated by a scale factor of 4, that means all the coordinates will be multiplied by 4. So, to find the original coordinates of the vertex located at (8,8) in the enlarged figure, we need to divide the coordinates by 4.

So, the correct answer is C, (32,32). Just like multiplying by 4 is like making something bigger, dividing by 4 is like shrinking it back down!

To find the coordinates of a vertex in the original figure, we need to reverse the dilation process by dividing the coordinates of the vertex in the enlarged figure by the scale factor.

Given that the scale factor is 4, and the vertex in the enlarged figure is located at (8, 8), we can find the coordinates in the original figure as follows:

x-coordinate in the original figure = (x-coordinate in the enlarged figure) / scale factor
= 8 / 4
= 2

y-coordinate in the original figure = (y-coordinate in the enlarged figure) / scale factor
= 8 / 4
= 2

Therefore, the coordinates in the original figure of the vertex located at (8, 8) in the enlarged figure are (2, 2).

So, the correct answer is A/(2,2).

To determine the coordinates in the original figure, you need to reverse the dilation process. Since the figure was dilated by a scale factor of 4, it means that every point in the original figure was multiplied by 1/4 to obtain the coordinates in the enlarged figure.

So, to find the coordinates in the original figure of a vertex located at (8,8) in the enlarged figure, you need to divide the coordinates by the scale factor (4).

Dividing (8,8) by 4 gives you (2,2).

Therefore, the coordinates in the original figure of the vertex located at (8,8) in the enlarged figure are (2,2).

The correct answer is A/(2,2).