Question

How are perpendicular bisectors and angle bisectors of a triangle different? How are they alike?

Answer 1

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Here's your answer !!

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Perpendicular Bisector

A perpendicular Bisector divides the opposite side into two parts of equal length and the angle formed by it is 90°.

In the Given figure ( 1 ), AD is perpendicular Bisector of BC as it divides it into two parts of equal length that is, BD = DC and

Angle ADB = Angle ADC { 90° = 90° }

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Angle Bisector

An angle Bisector bisects the angle from where it origins and divides the opposite sides into two parts of equal length.

In the Given Figure ( 2 ), AD bisects Angle A from where it originally and then divides the opposite side BC such that BD = DC.


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Similarity

Both the lines bisect the opposite side that is BC that it divide the line into two parts of equal length.

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Difference

Perpendicular Bisector forms 90° at he opposite side while Angle Bisector divide the angle into two parts of equal angles from where it origins.

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