Question

A has the coordinates (-4, 3) and B has the coordinates (4, 4). If (D_{2}(x, y)) is a dilation of ABC, what are the new coordinates of B'?

a) (8, 6)
b) (-8, 8)
c) (2, 2)
d) (-16, 16)

Answer 1

After performing a dilation by a scale factor of 2, the new coordinates of point B' are (8, 8).

Step-by-step explanation:

You want to determine the new coordinates of point B' after a dilation of ABC by a scale factor of 2, denoted as D_{2}(x, y). When you perform a dilation, you multiply both coordinates of the point by the scale factor. In this case, the coordinates of B are (4, 4).

Now, apply the dilation:

• x-coordinate of B': 4 × 2 = 8
• y-coordinate of B': 4 × 2 = 8

Therefore, the new coordinates for B' after the dilation are (8, 8).