In a quadrilateral ABCD, AC is a diagonal line. Is ABCD a

Question

In a quadrilateral ABCD, AC is a diagonal line. Is ABCD a parallelogram?
1) the triangle ABC and the triangle ADC area is equal.
2) AB= AC

Anonymous · Answer

B?
1. Can be a rectangle, square..rhombus.Insuff
2. AB=AC. i.e, AB not equal DC (opp side of AC) or cant be parallel. Suff. ABCD not a parallelogram.

ian7777 · Answer

i'm not sure about this one - i've drawn something that would make 1 untrue but I don't know if it's a drawing of a real thing.

I do want to point out that a rhombus, square, or rectangle are all parallelograms, so if what anonymous is saying is true, then 1 would be sufficient also.

Anonymous · Answer

I still go by statement 1 being insuf, because, per statement1 it can also be a parallelogram. So, Statement 1 mean that it can be a parallelogram or it may not be. However statement 2 confirms that the a diagonal and a side is equal and thus the sides are not equal and thus CANNOT be a parallelogram.

ian7777 · Answer

Why? what about 2 equilateral triangles pushed up together? They make a rhombus, but that IS a parallelgram.

Dookie · Answer

I think it's E.

artabro · Answer

I am with Dookie, I think it is E.


Two contiguous isosceles triangles ABC and ACD sharing side AC and with AB=AC=AD fulfil 1 and 2 conditions.

linker · Answer

Good solution dookie. OA is E

In a quadrilateral ABCD, AC is a diagonal line. Is ABCD a

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