127

[vaivish]

127. Is quadrilateral ABCD a parallelogram?
(1) Area of triangle ABC is equal to area of triangle ACD.
(2) AD=DC


not sure about OA

[parallel_chase]

I think it should be E.

Statement I

area of both triangles are same.

Its better if you draw a figure without the two lines parallel. The figure could just be a quadilateral.

Therefore Insufficient.

Statement II

AD=DC
we dont know anything about the other two sides.

Therefore insufficient.

Combining I & II

If look at both the statements, they are saying almost the same things.

Therefore Insufficient.

Hence E is the answer.

Whats the OA?

[sethids]

I'll also go with E