Suppose that rectangle ABCD is dilated to A’B’C’D’ using (0, 0) as the center and a magnitude of 2. What are the coordinates of A’?

To find the coordinates of A’ after dilating point A(8, 6) with a center at (0, 0) and a magnitude of 2, you multiply each coordinate by the dilation factor.

The formula for dilation from a point (x, y) using a center of dilation (0, 0) is:

[ A'(x’, y’) = (k cdot x, k cdot y) ]

where ( k ) is the dilation factor.

For point A(8, 6):

1. ( x’ = 2 cdot 8 = 16 )
2. ( y’ = 2 cdot 6 = 12 )

So, the coordinates of A’ are (16, 12).

Remember that the dilation increases the distance from the center of dilation (0, 0) by the factor of 2 in all directions. If you have more questions or need further assistance, feel free to ask!