Question

why does $gh = eh$converse of the perpendicular bisector theoremperpendicular bisector theoremconverse of the angle bisector theoremangle bisector theorem

Explanation:

The diagram shows a point on the perpendicular bisector of segment GE. The Perpendicular Bisector Theorem states that any point on the perpendicular bisector of a segment is equidistant from the endpoints of the segment, so this theorem justifies GH = EH.

Answer:

Perpendicular Bisector Theorem