Question

Using the diagram below, a reflection in line r is a transformation for which the following are true.

.
If a point A is on line r, then the image of A
is A itself (that is, A' = A).
Line of reflection.
B'
If a point B is not on line r, then r is the
perpendicular bisector of BB.

Answer 1

The diagram shows a line of reflection, labeled as "line r," and a point B on one side of the line. The image of point B, labeled as B', is shown on the other side of the line.

If point A is on line r, then the image of A would be A itself because a reflection in line r means that all points on the line remain unchanged.

If point B is not on line r, then line r would be the perpendicular bisector of line segment BB'. This means that line r would pass through the midpoint of line segment BB' and be perpendicular to it. The image of point B would be on the opposite side of line r from the original point B, but the distance between B and B' would remain the same.