What is the difference between a bisector and a perpendicular bisector?

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What is the difference between a bisector and a perpendicular bisector?

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Answer 1 · 2016-01-09T16:23:59

A (segment) bisector is any segment, line, or ray that splits another segment into two congruent parts.

For example, in the picture, if $bar(DE)congbar(EB)$ , then $bar(AC)$ is the bisector of $bar(DC)$ since it split it into two equal sections.

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A perpendicular bisector is a special, more specific form of a segment bisector. In addition to splitting another segment into two equal parts, it also forms a right angle (90˚) with said segment.

Here, $bar(DE)$ is the perpendicular bisector of $bar(AC)$ since $bar(AC)$ is split into two congruent segments— $bar(AE)$ and $bar(EC)$ .

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What is the difference between a bisector and a perpendicular bisector?

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