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Perpendicular Bisector Theorem Converse: A line from a vertex perpendicular to the midpoint of the opposite side bisects the triangle.

Diagram illustrating the Perpendicular Bisector Theorem Converse, showing triangle XYZ with a perpendicular line from vertex Z to midpoint O of base XY, with equal sides indicated by tick marks.

Diagram illustrating the Perpendicular Bisector Theorem Converse, showing triangle XYZ with a perpendicular line from vertex Z to midpoint O of base XY, with equal sides indicated by tick marks.

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