What is the scale factor in the dilation if the coordinates of A prime are (–7, 6) and the coordinates of C prime are (–4, 3)?

On a coordinate plane, square A B C D has points (negative 21, 18), (negative 12, 18), (negative 12, 9), (negative 21, 9). Square A prime B prime C prime D prime has points (negative 8, 6), (negative 4, 6), (negative 4, 3), (negative 8, 3).
One-third
One-half
2
3

Option A: is the dilation factor

Explanation:

The Coordinates of the square ABCD are A(-21,18), B(-12,18), C(-12,9), D(-21,9)

Also, the coordinates of the square A'B'C'D' are A'(–7, 6), B'(-4,6), C'(-4,3), D'(-8,3)

Now, we shall determine the scale factor in the dilation if the coordinates A' and C'.

Since, the dilation is the enlargement of the image in the same shape but different size.

To determine the scale factor, let us divide A'C' by AC

Thus, we have,

Also,

Dividing A'C' by AC, we have,

Thus, is the dilation factor