Question

1. explain how you know each statement is true. the length of segment ea is equal to the length of segment eb.

Explanation:

If point E is the mid - point of segment AB, by the definition of a mid - point, it divides the segment AB into two equal parts. So, the length of segment EA is equal to the length of segment EB. If E lies on the perpendicular bisector of segment AB, then any point on the perpendicular bisector of a line segment is equidistant from the endpoints of the line segment, making EA = EB.

Answer:

If E is the mid - point of AB or E lies on the perpendicular bisector of AB, then the length of segment EA is equal to the length of segment EB.