Perpendicular bisector

A perpendicular bisector of a segment is a line, segment or ray that is perpendicular to the segment at its midpoint.

Therefore, a ⟂ bisector will bisect a segment into two congruent segments.

In the figure below, line EF is the ⟂ bisector of segment GH. Angle 1 and angle 2 are right angles. Segment GI is equal to segment IH. Therefore, I is the midpoint of segment GH.

You could also call the ⟂ bisector the locus of points equidistant from two given points.

This makes sense because when you are looking at the red line, you can see that every point on that line is equidistant to G and H.

Perpendicular bisector

Perpendicular bisector of a triangle

The perpendicular bisector of a side of a triangle is a line that bisects and is perpendicular to a side of the triangle.

Perpendicular bisector of a triangle

In the figure above, the red line is the ⟂ bisector of side CA.

Notice that the bisector does not necessarily bisects the triangle into two congruent figures.

Recent Articles

  1. Quadratic Formula: Easy To Follow Steps

    Jan 26, 23 11:44 AM

    Quadratic formula
    Learn about the quadratic formula, the discriminant, important definitions related to the formula, and applications.

    Read More

  2. Area Formula - List of Important Formulas

    Jan 25, 23 05:54 AM

    Frequently used area formulas
    What is the area formula for a two-dimensional figure? Here is a list of the ones that you must know!

    Read More

Tough algebra word problems

100 Tough Algebra Word Problems.

If you can solve these problems with no help, you must be a genius!

Math quizzes


Math vocabulary quizzes