How do you prove that a point on a perpendicular bisector is at equal distances from the endpoints of the segment it intersects?

A perpendicular bisector is a special kind of segment, ray, or line that

(1) intersects a given segment at a 90° angle, and

(2) passes through the given segment's midpoint.

Question

How do you prove that a point on a perpendicular bisector is at equal distances from the endpoints of the segment it intersects?

A perpendicular bisector is a special kind of segment, ray, or line that

(1) intersects a given segment at a 90° angle, and

(2) passes through the given segment's midpoint.

adrynicoleb · Answer

Btw the second part is not a question it is the defintion

jdoe0001 · Answer

do you know what congruence means?   or how to test triangles for congruence ?

adrynicoleb · Answer

yes, but i am guessing that the answer is by the side-angle-side theorem. i dont know is it right?

adrynicoleb · Answer

it means equal sides @jdoe0001

jdoe0001 · Answer

hmm actually I was thinking ASA

adrynicoleb · Answer

why?

jdoe0001 · Answer

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jdoe0001 · Answer

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