Question

1. What is the equation for the line of reflection that reflects point P onto P?

2. What is the equation for the line of reflection that reflects point P' onto P''?
3. Could P'' also be considered a rotation of point P? If so, what is the center of rotation, and how many degrees was point P rotated?

Answer 1

The equation for the line of reflection from point P to P is y = x. The equation for the line of reflection from point P' to P'' is y = -x. P'' is not a rotation of P.

Step-by-step explanation:

The equation for the line of reflection that reflects point P onto P is y = x.

The equation for the line of reflection that reflects point P' onto P'' is y = -x.

P'' cannot be considered a rotation of point P because the center of rotation would be the origin and the angle of rotation would be 180 degrees. However, since P'' is the reflection of P', it has the same distance from the origin as P'.