AD and BC are equal perpendiculars to a line segment AB (See the given – InterviewSolution

InterviewSolution

1.	AD and BC are equal perpendiculars to a line segment AB (See the given figure). Show that CD bisects AB.
Answer» In ΔBOC and ΔAOD, ∠BOC = ∠AOD (Vertically opposite angles) ∠CBO = ∠DAO (Each 90º) BC = AD (Given) ∴ ΔBOC ≅ ΔAOD (AAS congruence rule) ∴ BO = AO (By CPCT) ⇒ CD bisects AB.

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