Question

Given that ray PN is the angle bisector of angle OPM, what can you conclude about NO and NM?

Answer 1

They are congruent if they are bisected at their midpoint

Answer 2

NO and NM are congruent if they are perpendiculars drawn on the two arms of < OPM.

Explanation:

An angle bisector bisects the angle in two equal parts.

Given ray PN is angle bisector of <OPM that is PN is bisecting the angle in two equal parts. A ll points lying on the two arms of the angle PO and PM are at equal distance from the angular bisector PN .Hence NO and NM will be of same length and hence they will be congruent.