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How many perpendicular bisectors are required to be constructed to devide a line segment into four equal parts?

User Creature
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1 Answer

11 votes

Answer:

Three perpendicular bisectors are required

Explanation:

A perpendicular bisector of a line segment is a line that cuts the line segment at a 90° angle, dividing it into two equal halves.

In this example, one bisector produces two equal parts of the segment

two bisectors produce three segments and three bisectors, four segments as shown in the diagram.

Perpendicular bisectors are constructed using a compass and a pencil, you can check out how to construct one, it is pretty interesting.

User Mgold
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