Perpendicular Bisector Theorem

Definition: When a point is on the perpendicular bisector of a segment, it is equidistant from the endpoints of the segment.

Example: Find the length of segment BD if point D is the perpendicular bisector of segment BC and segment DC = 6

perp_bisector_theorem.png

Solution: 

We can use the Perpendicular Bisector Theorem to find the length of segment BD.

Step 1: Evaluate the given information:
D is the perpendicular bisector of segment BC, so D is equidistant from the endpoints of segment BC.
Segment DC = 6

Step 2: Use the given information to find the length of segment BD:
If D is equidistant from the endpoints of segment BD and segment DC = 6, then we know segment BD is also equal to 6.

Segment BD = 6

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