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?(1 point)

Responses

The line of reflection is horizontal.
The line of reflection is horizontal.

The line of reflection is the y-axis.
The line of reflection is the y -axis.

The line of reflection is the x-axis.
The line of reflection is the x -axis.

The line of reflection is vertical.
The line of reflection is vertical.

1 answer

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. This is because a horizontal line of reflection preserves the x-coordinates of points, while changing their y-coordinates.

Therefore, the correct response is:

The line of reflection is horizontal.