Can you crack it

Geometry Level 3

Consider a Convex quadrilateral ABCD_ such that K,L,M,N are the MIDPOINTS of AB,BC,CA,AD respectively.Now suppose
(a) BD bisects KM at Q
(b)QA=QB=QC=QD and
(c)\(\frac {LK}{LM}\)=\(\frac {CD}{CB}\)

Then the quadrilateral is a.......

NOTE:

-merely guessing the answer won't improve your math skills.Try to prove it.

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