Question

in fig. two lines AB and and CD intersect each other at the point O such that BC|| DA,if the length of OA is 4cm , length of CD =???
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Answer 1

Answer:

For Providing O is the middle point we need to prove ∆COB and ∆ AOD must be congruent

Step-by-step explanation:

Let start

in ∆ COB and ∆AOD

angle COD = angle AOD ( Vertically opposite because BC/DA)

AD=BC ( Given)

angle OAD angle OBC ( Alternate interior Angle Because BC//DA)

Hence , ∆ COB congruent to ∆ AOD by ASA Congruent Condition

Now By C.P.C.T ,AO=OB

OD=OC

Proved

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