Apply geometric motions to reflect figures. Brinda reflects point T over a line of reflection, resulting in point T'. If points T and T' have the same x-coordinate, what must be true?

Question

A. The line of reflection is the y-axis
B. The line of reflection is the x-axis
C. the line of reflection is horizontal
D. the line of reflection is vertical

Answer 1

If points T and T' have the same x-coordinate after reflection, it indicates that the line of reflection is vertical. This is because a vertical line of reflection keeps the x-coordinate unchanged for points that are reflected over it, while their y-coordinates change.

Thus, the correct answer is:

D. the line of reflection is vertical.