The perpendicular bisector of a segment is a line?

Question

to a segment at the segments?

Answer 1

Yes it is.

Say the the endpoints of the segment are (x₁, y₁) and (x₂, y₂).

Then the perpendicular bisector goes through the segment's midpoint which is

(x_m, y_m) where x_m = (x₁ + x₂) / 2 and y_m = (y₁ + y₂) / 2.

The perpendicular bisector's slope is m = (x₁ - x₂) / (y₂ - y₁).