Question

which of the following divides a line segment into two equal parts 1. perpendicular at any point 2. perpendicular bisector of the segment 3. angle bisector 4. both 2.&3.

Answer 1

options 4 is the answer of this question.

Answer 2

The perpendicular bisector of the segment divides a line segment into two equal parts. (option 2)

• Bisect means to divide a shape, line, or angle into two equal parts.
• Among the given options, it can be seen that a perpendicular bisector (option 2), is defined as a line segment that divides another line segment into two equal parts and is at a right angle to the line.
• Perpendicular (option 1), means a line that is at a right angle but may not necessarily be a bisector of the line.
• While angle bisector (option 3) is a line that divides an angle into two equal parts and not a line.
• Therefore, the perpendicular bisector of the segment (option 2), should be the correct one.