When constructing a perpendicular bisector, why must the compass opening be greater than one half the length of the segment?

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(1) Answers

petranajjar

To construct the perpendicular bisector we have to construct 2 circles with equal radius so that they intersect at 2 points. The perpendicular bisector is the line connecting the two intersection points.
If the radius ( the compass opening ) is less than 1/2 of the length of the segment, the two circles doesn`t intersect and if it is equal to 1/2 of the length we get only 1 point.