Answer:
It must be longer than the original segment.
Explanation:
Let analyse all the 4 answers:
- a. It divides the original segment into two equal pieces.
Yes because It finds the midpoint of the given line segment.
- b. Every point on the perpendicular bisector is the same distance from both end points of the segment.
Yes, because perpendicular bisector theorem states that if a point is on the perpendicular bisector of a segment, then it is equidistant from the segment's both endpoints.
- c. It must be longer than the original segment
Wrong, it can be shorter or equal to the original segment.
- d. It is perpendicular to (makes a 90 angle with) the original segment
True, because of it is one of the the properties of a perpendicular bisector of a segment
So we choose C.
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