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)

Answer 1

If points T and T′ have the same x-coordinate after point T is reflected over a line of reflection, it indicates that the line of reflection is a vertical line that runs parallel to the y-axis. This is because reflection across a vertical line alters the y-coordinates of the points but keeps the x-coordinates the same.

In other words, if T has coordinates (x, y), then T′ would have coordinates (x, y′), where y and y′ could differ, but x remains constant. Thus, for the reflection over a vertical line, the following is true:

The line of reflection is a vertical line at x = a, where 'a' is the shared x-coordinate of both points T and T′.