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Example 1: Using the Perpendicular Bisector Theorem — Solve for AB and QR using algebraic expressions.

Two geometry problems illustrating the Perpendicular Bisector Theorem. Problem A shows triangle ABC with BD as a perpendicular bisector, and sides labeled 4x and 6x - 10. Problem B shows triangle PQR with QS as a perpendicular bisector, and sides labeled 3n - 1 and 5n - 7.

Two geometry problems illustrating the Perpendicular Bisector Theorem. Problem A shows triangle ABC with BD as a perpendicular bisector, and sides labeled 4x and 6x - 10. Problem B shows triangle PQR with QS as a perpendicular bisector, and sides labeled 3n - 1 and 5n - 7.

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