Question

There is a line segment AB. Choose the correct statements about its perpendicular bisector.

• A. True
• B. False
• C. Every point in the perpendicular bisector is equidistant from point A and B.
• D. None of these.

Answer 1

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

The correct options are
A

True

B

False

C Every point in the perpendicular bisector is equidistant from point A and B.

Two lines are said to be perpendicular to each other when they intersect in such a way that they form 90 degrees with each other. And a bisector divides a line into two equal halves. Thus, when we talk about the perpendicular bisector of a line segment AB, it implies:

1. It divides AB into two equal halves or bisects it.
2. It makes right angles with (or is perpendicular to) AB.
3. Every point in the perpendicular bisector is equidistant from point A and B.