Question

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Answer 1

Step-by-step explanation:

Gn:

ABCD is a quadrilateral....

also,

AO=2CO; BO=2DO...

TO PROVE:

(1)∆AOB~∆COD

(2)OA*OD= OB*OC

SOLN:

In ∆AOB and ∆COD

-> AO= 2CO.....(3)

->BO= 2DO......(4)

From (3)&(4)

->AO=CO; BO=DO

By SS- simliarity Criterion

∆AOB~∆COD

BY CPST,

-> OA/OC= OB/OD

->. OA*OD=OB*OC[ cross multiply]

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