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 a b c or d solve it and tell me the correct answer

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

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

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

The line of reflection is horizontal.

1 answer

If points T and T′ have the same x-coordinate after the reflection, it means that the points are aligned vertically along a straight line. For reflections, when a point is reflected over a line, the resulting point remains at the same horizontal position (same x-coordinate) only if the line of reflection is vertical, meaning it does not change the x-coordinate of the point being reflected.

Given the options:

  • The line of reflection is the y-axis.
  • The line of reflection is vertical.
  • The line of reflection is the x-axis.
  • The line of reflection is horizontal.

The correct answer is "The line of reflection is vertical."