when I use the line segments to the corresponding points of a pre-image and the image in a reflection, the line of reflection is the ______ of each line segment because?

Answer 1

When you use line segments connecting corresponding points of a pre-image and its image in a reflection, the line of reflection is the perpendicular bisector of each line segment because it is always equidistant from the points of the pre-image and image. This means that each point on the line of reflection is the same distance from both corresponding points, satisfying the definition of a reflection across a line. Thus, the line of reflection bisects the line segments perpendicularly.