Question

Which of the following statements are true with respect to perpendicular bisector?

• A. It divides line segment into two halves.
• B. It passes through the mid point of line segments.
• C. It is perpendicular to line segment to which it divide line segment in equal halves.
• D. Bisector can also divide angles into two halves.

Answer 1

Answer: (A), (B), (C)

It is perpendicular to line segment to which it divide line segment in equal halves.

Perpendicular bisector is a line passing through the mid point of line segment dividing it into two equal halves and is perpendicular to line segement.

For example: $\text{AB}$ is a line segment having mid point $\text{S}$ and line passing through $\text{S}$ is bisector of $\text{AB}$ making right angle also.

So, it will be perpendicular bisector of $\text{AB}$.



So, statement $\text{a, b, c}$ are correct.