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Anu01 jain
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Asked: 2023-03-25T06:45:44+00:00 In:

AD and BC are equal perpendiculars to a line segment AB (see Figure). Show that CD bisects AB.

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AD and BC are equal perpendiculars to a line segment AB (see Figure). Show that CD bisects AB.

How to conclude that triangle ACD is congruent to triangle BCD.
Important TRIANGLES Solutions.
Class 9th, EXERCISE 7.1, Page No: 118.
Questions No:3.
CBSE Board, Session 2023-2024.

class 9mathsncert
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    1. Best Answer
      AD and BC are equal perpendiculars to a line segment AB (see Figure). Show that CD bisects AB.

      In ΔOCB and ΔODA,
      ∠BOC = ∠AOD [∵ Vertically Opposite Angles]
      ∠CBO = ∠DAO [∵ Each 90°]
      BC = AD [ Given]
      Hance, ΔOCB ≅ ΔODA [∵ AAS Congruency Rule]
      BO = AO [∵ Corresponding parts of congruent triangles are equal]
      Hence. CD bisects AB.

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