Given that op is the perpendicular bisector of mn, which segments are congruent?

Step-by-step explanation:

Let OP be perpendicular bisector of MN

Perpendicular:

We say two lines are perpendicular to each other if they intersect at right angle.

If OP is perpendicular to MN at point say K , it means

Bisector:

A line is said to be a bisector of another line if it intersects that line at it's  midpoint .

If OP bisects MN at point K, it means MK=KN

Two line segments are said to be congruent if they are of same length.

Join OM and ON

Consider

OK=OK   (common side)

MK=KN   (OP bisects MN)

Therefore, ΔOKM≅ΔOKN  ( by SAS congruence condition )

So, OM=ON  ( corresponding sides of congruent triangles )

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step-by-step explanation: