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  1. ABCD is a trapezium in which AB||DC and AB = 2DC. Then what is the ratio between the areas of ∆AOB and ∆COD respectively ?

    1. 4 : 1
    2. 1 : 3
    3. 2 : 1
    4. 3 : 1
Correct Option: A


In ∆AOB and ∆COD,
∠AOB = ∠COD and ∠OAB = ∠OCD
By AA-similarly theorem, ∆AOB ~ ∆COD

∆AOB
=
AB²
∆CODCD²

=
(2DC)²
=
4
CD²1



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