# 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.