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.

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.

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step-by-step explanation: