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Six parallel sides in pairs? Sounds like a cube.
home plate
Oh, dude, a rhombus actually has 4 sides with all sides being equal in length. It does have 2 pairs of parallel sides, but it also has opposite angles that are equal, not to mention it's like a tilted square. So, yeah, it's definitely not a shape that's all about parallel sides and no perpendicular ones.
As far as we know, two lines can be perpendicular, or they can be parallel, but they can't be both.
I think it is these: Parallel: Perpendicular: it looks like an upside down capital "T"