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

Answer 1

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.

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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Answer 2

Savannah Aguilar

A bisector divides an angle or a line segment into two equal parts. A perpendicular bisector is a specific type of bisector that not only divides a line segment into two equal parts but also intersects it at a right angle (90 degrees).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.