Consider the incomplete paragraph proof.
Given: P is a point on the perpendicular bisector, I, of
MN
Prove: PM = PN
K8
Because of the unique line postulate, we can draw
unique line segment PM. Using the definition of
reflection, PM can be reflected over line / 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

Respuesta :

Point N is the image of M .

What is Perpendicular bisector?

Perpendicular lines are lines that intersect at a right (90 degrees) angle.

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

To prove : PM = PN

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.

Thus , point N is the image of M .

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