Which of these is not a characteristic of a perpendicular bisector?A.forms a right angleB.is a line segmentC.intersects at least one midpointD.is parallel
Question
Which of these is not a characteristic of a perpendicular bisector?
A. forms a right angle
B. is a line segment
C. intersects at least one midpoint
D. is parallel
Solution
To determine which of the options is not a characteristic of a perpendicular bisector, let's analyze each option carefully.
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A. forms a right angle: This is true because a perpendicular bisector by definition intersects a segment at a point that forms right angles (90 degrees) with that segment.
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B. is a line segment: This is not a characteristic of a perpendicular bisector. A perpendicular bisector is actually a line that extends indefinitely in both directions, rather than being confined to a specific segment. Thus, this option is likely to be the correct answer.
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C. intersects at least one midpoint: This is also true, as a perpendicular bisector intersects the segment at its midpoint.
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D. is parallel: This is not true in the context of a perpendicular bisector. A perpendicular bisector cannot be parallel to the original segment it bisects since it must intersect it at a right angle.
Based on the analysis above, the option that stands out as not being a characteristic of a perpendicular bisector is:
Final Answer
B. is a line segment.
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