Graph △ABC with the coordinates A(3,-4), B(5,-1), and C(7,-4). Translate this triangle (-5,4). Reflect this triangle over x-axis. Which of the following are the correct ordered pairs for the new figure

Answer 1

To translate triangle ABC by (-5,4), we subtract 5 from the x-coordinates and add 4 to the y-coordinates of each point.

The new coordinates will be:
A'(3-5, -4+4) = A'(-2,0)
B'(5-5, -1+4) = B'(0,3)
C'(7-5, -4+4) = C'(2,0)

Reflecting the translated triangle over the x-axis will result in the y-coordinates being multiplied by -1.

The final coordinates for the new figure after reflection over the x-axis will be:
A'(-2,0)
B'(0,-3)
C'(2,0)

Therefore, the correct ordered pairs for the new figure are (-2,0), (0,-3), (2,0).