A square would fit the given description.
A square
a square
a rectangle
A square
Rhombus. Because a Rhombus has four congruent sides but no right angles.
A quadrilateral has four interior angles. It may have two, three, four, or none of them congruent.
An impossibility. By definition a quadrilateral with 4 congruent sides must have congruent adjacent angles.
square
Rhombus: A Rhombus has four congruent sides but no right angles.
Rectangle.
A square
a square
A quadrilateral, specifically a square or rectangle
A square, but not a rhombus because a rhombus does not have four congruent angles
A rhombus.
rectangle
A rectangle.