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