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 horizontal
b. The line of reflection is vertical
c. The line of reflection is the y-axis
d. The line of reflection is the x-axis

Answer 1

If points T and T' have the same x-coordinate after reflecting point T over a line of reflection, this means that the line of reflection must be horizontal. When a point is reflected over a horizontal line, the x-coordinates of the original point and its reflection remain the same, while the y-coordinates change.

Therefore, the correct answer is:

a. The line of reflection is horizontal.