For triangle FUN x=-1. what are the coordinates of F’ after a reflection? The coordinates of F are (-5, 5) The coordinates of U are (-1, 4) and the coordinates of N are (-3, 0).
A. F’(3,5)
B. F’(-5,-5)
C. F’(-1, 4)
D. F’(5, -5)
To find the coordinates of F’ after a reflection, we need to reflect point F(-5, 5) over the line x = -1.
The line x = -1 is a vertical line. When a point is reflected over a vertical line, the x-coordinate stays the same, but the sign changes.
Therefore, the x-coordinate of F’ will be -(-5) = 5.
Since the y-coordinate does not change when reflecting over a vertical line, the y-coordinate of F’ will be the same as the y-coordinate of F, which is 5.
So the coordinates of F’ after the reflection are (5, 5), which corresponds to option D. Therefore, the correct answer is D. F’(5, -5).