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

Possible Answers:
The line of reflection is vertical. The line of reflection is vertical. The line of reflection is the y-axis. The line of reflection is the y -axis. The line of reflection is horizontal. The line of reflection is horizontal. The line of reflection is the x-axis.

Answer 1

If point T and its reflection point T′ have the same x-coordinate, this means that the line of reflection must be horizontal.

When a point is reflected over a line, its perpendicular distance to the line is the same on both sides. If the x-coordinate remains the same for both points, it indicates that the reflection does not change the horizontal position (x-coordinate) but could change the vertical position (y-coordinate).

Therefore, the correct answer is: The line of reflection is horizontal.