# What is the perpendicular bisector in math?

## What is the perpendicular bisector in math?

A perpendicular bisector is the name given to an accurate drawing where a line is cut in half by a new line which is at 90 degrees to the original line. Bisect means to cut in half, in two equal parts. Perpendicular is when two lines meet at a right angle.

### What is the formula for bisector?

According to the angle bisector theorem, PQ/PR = QS/RS or a/b = x/y. An angle bisector is a line or ray that divides an angle in a triangle into two equal measures.

**What is the example of perpendicular bisector theorem?**

The perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the segment’s endpoints. In other words, if we hanged laundry lines from any floor of our tower, each floor would use the same length of laundry line to reach the ground.

**Why is the perpendicular bisector theorem?**

The perpendicular bisector theorem states that any point on the perpendicular bisector is equidistant from both the endpoints of the line segment on which it is drawn. If a pillar is standing at the center of a bridge at an angle, all the points on the pillar will be equidistant from the end points of the bridge.

## What is the formula of perpendicular distance?

Therefore, the perpendicular distance (d) of a line Ax + By+ C = 0 from a point (x1, y1) is given by. d = |Ax1 + By1 + C|]/ √(A2 + B2) Go through the example given below to understand the above process and how to apply the formula to solve mathematical problems based on the distance between point and line.

### How do you find perpendicular lines?

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

**What is the equation when two lines are perpendicular?**

If two lines AB and CD of slopes m1 and m2 are perpendicular, then the angle between the lines θ is of 90°. ⇒ m1m2 = -1. Thus when two lines are perpendicular, the product of their slope is -1. If m is the slope of a line, then the slope of a line perpendicular to it is -1/m.