Question

multiple choice

question 9

true or false:

a perpendicular bisector is a ray, segment, or line that only needs to bisect the line segment.

a true

b false

Explanation:

Analyze the definition of a perpendicular bisector

A perpendicular bisector must satisfy two distinct conditions:

1. It must bisect the given line segment (divide it into two equal halves).
2. It must intersect the segment at a right angle (\(90^\circ\)), meaning it must be perpendicular.

Evaluate the statement

The statement claims that a perpendicular bisector "only needs to bisect the line segment." This is incorrect because it completely omits the requirement of being perpendicular. A line that only bisects a segment is simply a bisector, not a perpendicular bisector.

Determine the correct option

Since the statement is false, the correct choice is option B.

Answer:

• A true
• B false (Correct answer)