How many perpendicular bisectors can be constructed for a line segment?
A. 0
B. 1
C. 2
D. infinitely many
I think D!
No wait, B
since any given line segment can have only ONE midpoint, and the perpendicular bisector has to go through the midpoint, there will be only ONE of them
B is correct
B is correct my man
To determine how many perpendicular bisectors can be constructed for a line segment, let's understand the concept of a perpendicular bisector first.
A perpendicular bisector is a line that cuts a line segment into two equal halves at a 90-degree angle. It passes through the midpoint of the line segment, dividing it into two congruent parts.
Now, for any given line segment, only one perpendicular bisector can be constructed. This is because there is only one line that can pass through the midpoint of the segment and form a 90-degree angle with it.
Therefore, the correct answer is B. 1.