Question

Prove using coordinate geometry: If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.
http://assets.openstudy.com/updates/attachments/5246df8ae4b034054f3dcd4c-mathgeek898-1380376524823-geometrymidterm.pdf
(Number 20)
Given: Line l is the perpendicular bisector of CD .
Prove: Point R(a, b) is equidistant from points C and D.

Answer 1

well I'd use the distance formula

the line and bisector intersect at right angles...

so by choosing a point on the bisector and each endpoint

the distance formula would show that the segments from the endpoints
to the point on the bisector are equidistant

Answer 2

I have no idea what the distance formula is /.\

Answer 3

ok.... well that its simply pythagoras' theorem applied to coordinate geometry

you also need to point where the bisector and line intersect



an alternate method would be to use a congruent triangle proof... Side Angle Side



hope it helps

Answer 4

@undeadknight26