parallelogram

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albinogmat: Newbie | Next Rank: 10 Posts; Posts: 4; Joined: Mon Nov 21, 2011 3:58 am; Thanked: 1 times

by albinogmat » Mon Nov 21, 2011 5:00 am

ABCD is a quadrilateral. Is ABCD a parallelogram?
(1)AD=BC
(2) ABD and ACD are equal

I went for E but the OA says C. Please explain.

Source: Beat The GMAT — Quantitative Reasoning | Mon Nov 21, 2011 5:00 am

neelgandham: Community Manager; Posts: 1060; Joined: Fri May 13, 2011 6:46 am; Location: Utrecht, The Netherlands; Thanked: 318 times; Followed by:52 members

by neelgandham » Mon Nov 21, 2011 5:16 am

ABCD is a quadrilateral. Is ABCD a parallelogram?

(1)AD=BC

ABCD can be a parallelogram or an isosceles trapezoid.

(2)Triangles ABD and ACD are equal? Assuming : that the areas of the triangles are equal

Then ABCD can be a Paralleogram(rectangle, square, rhombus) or an isosceles trapezoid.

IMO E
What is the source of the question ?

Anil Gandham
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