Question

Plot the image of point A under a dilation about the origin (0,0) with a scale factor of 1/4.

A. The image of point A is at (0,0).
B. The image of point A is at (1,1).
C. The image of point A is at (4,4).
D. The image of point A is at (1/4, 1/4).

Answer 1

The image of point A after a dilation with a scale factor of 1/4 would be at (1,1) if we assume the original coordinates were (4,4).

Step-by-step explanation:

To plot the image of point A under a dilation about the origin (0,0) with a scale factor of 1/4, you must multiply the coordinates of point A by the scale factor. If the original coordinates of point A are not given, we cannot determine the exact location of the image. However, if we assume the point A has coordinates that are multiples of 4, like (4,4), then applying the scale factor would result in the image having the coordinates (1,1). This is because 4 multiplied by 1/4 equals 1. The options provided suggest that the original point A could be at (4,4). After performing the dilation, the coordinates become (1,1), which matches option B.