riddler on my math homework!

[teddybear101]

use the following properties of quaderilaterals to determine the following riddle.
i have 2 sets of parallel sides. My diagonals are angle bisectors. My diagonals are perpendicular. Two of my angles are 60 degrees. who am I?
ok, well i have narowed it down to two shapes, a rhombus, and a parallelogram, now i have to deside which one works. hmmmmm.....
well i know that a rhombus has the diagonals are angle bisectors,and my angles are perpendicular, but that is now information.
so what should i use to fugure the rest of it out?

[zackattack]

see if u can draw a parrellogram where the diagonals are not perp.
also: http://cauchy.math.okstate.edu/geoset/P ... dDiags.htm

[teddybear101]

thankyou, the website was very helpful, i found that the answer is a rhombus.