Question

AD and BC are equal perpendiculars to a line segment ab show that CD bisects ab

Answer 1

Step-by-step explanation:

yes of course it bisects because perpendicular are of 90 degree and a line segment contains two angles only of 90°

thereforw it bisects

Answer 2

Given :

• AD = BC
• ∠CBO = ∠DAO (Each 90°)

To Find :

• CD bisects AB
• OA = OB

Solution :

In Δ AOD and Δ BOC :

$\longmapsto\tt{AD=BC(Given)}$

$\longmapsto\tt{\angle{CBO}=\angle{DAO}(Each\:90\degree)}$

$\longmapsto\tt{\angle{AOD}=\angle{BOC}(V.O.A)}$

So , By ASA Rule ΔAOD ≅ ΔBOC..

Now :

$\longmapsto\tt{OA=OB(By\:CPCT\:Rule)}$

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ASA Rule :

Two Triangles are congruent if two angles and the included side of one triangle is equal to the two angles and the included side of other Triangle .

CPCT means Corresponding Parts of Congruent Triangle.

V.O.A stands for Vertically Opposite Angles.

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