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Any non-square rhombus. From Wikipedia:
Every rhombus is a parallelogram, and a rhombus with right angles is a square. (Euclid's original definition and some English dictionaries' definition of rhombus excludes squares, but modern mathematicians prefer the inclusive definition.)
(And as long as you're just talking about the length of those sides -- which is the only sensible interpretation of the question -- it's clearer to call them "equal" than "congruent".)
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Are all rectangles perpendicular?
Yes. The basic definition for a rectangle is 4 sides, four right angles(perpendicular), and opposite sides are congruent.
Does polygons with congruent sides have perpendicular angles?
no, they have congruent angles
Which quadrilaterals have all sides congruent and no sides perpendicular?
A rhombus has all sides congruent with no sides *necessarily* perpendicular. Normally a square is considered a kind of rhombus. So the answer would be "non-square rhombus."
What has four congruent sides and four congruent angles?
A square
Does a rectangular prism have any perpendicular or congruent sides?
i think it does
