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Segment Bisector Definition

In the app below, the line is said to be a BISECTOR (or SEGMENT BISECTOR) of the segment whose endpoints are shown. Interact with this app for a minute, then answer the questions that follow.

Drag the LARGE POINTS anywhere you'd like prior to sliding the slider!

Complete the following sentence definition: A SEGMENT BISECTOR is a _________________ that intersects a segment at its ______________.