Question

Consider the incomplete paragraph proof.

Given: P is a point on the perpendicular bisector, l, of MN.
Prove: PM = PN



Because of the unique line postulate, we can draw unique line segment PM. Using the definition of reflection, PM can be reflected over line l. By the definition of reflection, point P is the image of itself and point N is the image of ________. Because reflections preserve length, PM = PN.

Answer 1

point M

Explanation:

Answer 2

It is given : P is a point on the perpendicular bisector, l, of MN.

We have to prove PM = PN.

The given statements have a missing Point.A Reflection is a transformation in which the figure is the mirror image of the other. Every point is a mirror reflection of itself .By the definition of reflection, point P is the image of itself ,point N is the image of _M .The line l acts as a Line of symmetry or axis of reflection.

Reflections preserve length so PM = PN.