** Definition of Perpendicular Bisector**

- Perpendicular Bisector is a perpendicular line or a segment that passes through the midpoint of a line.

**More about Perpendicular Bisector**

- A perpendicular bisector divides a line segment into two equal segments.
- The intersecting point of the three perpendicular bisectors of a triangle is called circumcenter.

**Example of Perpendicular Bisector**

- In the figure shown, AB is the perpendicular bisector of the line segment PQ passing through its midpoint ‘O’.

**Solved Example on Perpendicular Bisector**

AB is a line segment of length 12 cm. CD is the perpendicular bisector of AB. Find the length of AO and OB.

Choices:

A. 6 cm and 8 cm

B. 7 cm and 7 cm

C. 6 cm and 6 cm

D. 7 cm and 6 cm

Correct Answer: C

Solution:

Step 1:A perpendicular bisector divides a line segment into two equal parts.

Step 2:The length of AB is 12 cm and CD is the perpendicular bisector of AB.

Step 3:So, AO = OB = = = 6 [Substitute AB = 12.]

Step 4:AO = OB = 6 cm

**Related Terms for Perpendicular Bisector**

- Bisector
- Bisector of a line
- Line
- Line Segment
- Midpoint
- Perpendicular Lines