You can use a point on a perpendicular bisector to prove that two segments are congruent. If the point is on the perpendicular bisector of a segment, then it's equidistant from the endpoints of the segment.

How do you test for equidistant?

In order to find a point that is equidistant from other points, we can use the midpoint formula, once we know the x and y coordinates. We add both x coordinates and divide by two, then add both the y coordinates and divide by two.

What is the equidistant Theorem?

If two points A and B are the same distance from a third point Z, then Z is said to be equidistant to A and B. ... Theorem If 2 points are each equidistant from the endpoints of a segment, then the two points determine the perpendicular bisector of that segment.