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





It divides the original segment into two equal pieces.




Every point on the perpendicular bisector is the same distance from both end points of the segment.




It must be longer than the original segment.




It is perpendicular to (makes a 90 angle with) the original segment.

Respuesta :

thaovtp1407

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.

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