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.? can someone explain this to me?

Question

anonymous · Answer

@atlas do you know how to solve this?

atlas · Answer

find the equation of the perpendicular bisector of the line segment.................substitute the given point in this equation and check whether it satisfies the given equation............if it does the point lies on the perpendicular bisector else it doesn't

atlas · Answer

u can use the distance formula to check if the distance of the point from the ends of the line is same

anonymous · Answer

okay thank you so much :)

atlas · Answer

But if it does not lie on the perpendicular bisector, then it will never be equal :)

anonymous · Answer

omg thank you your a life saver :)

atlas · Answer

You are always welcome :)

anonymous · Answer

Im confused by what you meant when you said to find the equation of the perpendicular bisector of the line. what does that mean