Anonymous
Anonymous asked in Science & MathematicsMathematics · 2 months ago

What is the difference between a right bisector and a perpendicular line? Are they even different?

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• 2 months ago

Right Bisector of a line segment is a straight line perpendicular to the segment and is essentially passing through the midpoint of the segment. Any other line perpendicular to the line segment, but not passing through ITS MID-POINT is not a PERPENDICULAR BISECTOR.

Refer to the following figure -

AB is a line segment. and ' O ' is its mid-point.

Both the Lines --   EF and  CD are perpendicular to AB at  ' O ' and  ' P ' respectively.

Then,  since EF is passing through ' O '  .... EF is a Right bisector

But since CD is passing through point  ' P ' ( which is not mid-point of AB,

CD is not a right bisector instead it is simply a perpendicular on  AB

• 2 months ago

Right bisector means a right angle line that bisects a segment. This means the same thing as a perpendicular bisector. But be careful, if it says just a perpendicular line, it doesn't have to bisect the segment. A perpendicular bisector cuts the segment exactly in half.

• 2 months ago

A right bisector is a perpendicular line through the midpoint of a line segment. There is only 1 right bisector.

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A perpendicular line can meet the line segment at any point. I doesn't have to be at the midpoint. There are many perpendicular lines.

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