Question

AD and BC are equal perpendiculars to line segment ab show that CD bisects AB.
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Answer 1

SOLUTION:-

Given:-

• AD perpendicular AB.
• BC perpendicular AB

To prove:-

• CD bisects AB.

Proof:-

In ∆ AOD and ∆ BOC

=> <AOD = <BOC [vertically opposite angles]

=> <DAO = <CBO [each 90°]

=> AD = BC [given]

Therefore,

∆ AOD congruent to ∆ BOC [By AAS congruency]

Therefore,

AO = BO [BY CPCT]

Hence,

CD bisects AB.

Hence proved ✔️

Answer 2

Answer:

In triangle OAD & OBC

AD=BC (GIVEN)

<OAD=<OBC (EACH=90*)

<AOD=<BOC (VERTICLE OPP ANGLE)

THEREFORE,

TRIANGLE ODA=OCB (AAS CRITERIA)

OA=OB (CPCT)

So, CD bisects AB.