Question

Which one of the properties described below DOES NOT apply to the perpendicular bisector of a segment?

Answer 1

Answer:

It must be longer than the original segment.

Step-by-step 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.

Hope it will find you well.