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