When the figure is translated 4 units to the right and 6 units down, what are the coordinates of the new figure?
A. A'(0, 3) B'(2,-2) C'(0, -2)
B. A'(-2, 1) B'(0, -4) C'(-2, -4)
C. A'(-2, 1) B'(2,-2) C'(0, -2)
D. A'(0, 3) B'(0, -4) C'(-2, -4)
To translate a figure 4 units to the right and 6 units down, you simply add 4 to the x-coordinate and subtract 6 from the y-coordinate.
The original coordinates are:
A(4, 9)
B(6, 4)
C(4, 4)
After the translation:
A' = (4+4, 9-6) = (8, 3)
B' = (6+4, 4-6) = (10, -2)
C' = (4+4, 4-6) = (8, -2)
Therefore, the coordinates of the new figure are:
A'(8, 3) B'(10, -2) C'(8, -2)
The answer is not among the options provided.