Answer:
In general, if the original point has coordinates (x, y), and the scale factor is k, the coordinates of the dilated point would be (kx, ky).
Step-by-step explanation:
The scale factor for a dilation determines how much larger or smaller the dilated figure is compared to the original figure. In this case, the scale factor is 1/4, which means that the dilated figure is 1/4 the size of the original figure.
To find the coordinates of the dilated point, you multiply each coordinate of the original point by the scale factor. Let's say the original point has coordinates (x, y). To find the coordinates of the dilated point, you multiply x by 1/4 and y by 1/4.
For example, let's say the original point is (8, 12). To find the coordinates of the dilated point, you multiply 8 by 1/4 and 12 by 1/4.
8 * 1/4 = 2
12 * 1/4 = 3
So, the coordinates of the dilated point would be (2, 3).