AD and BC are equal perpendicular to a line segment AB (see figure 7.28). Show that CD bisect AB
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Step-by-step explanation:
Given :
- ∠OBC = ∠OAD,
- AD = BC
To prove : OB = OA
Lets consider ΔAOD and ΔBOC
- ∠OBC = ∠OAD (given)
- AD = BC (given)
- ∠AOD = ∠BOC (vertically opposite angles)
∴ By ASA congruency, ΔAOD ≅ ΔBOC
∴ By CPCT, OB = OA
Hence proved,
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