A quadrilateral with no right-angles would be a rhombus (or parallelogram)
A rhombus has four sides, with opposite corner angles equal.
A rectangle
A rectangle.
Square
rhombus
parallelogram
a square
A Rhombus.
Two pairs of equal sides and four right angles.
triangle
It can have 2 right angles but normally none unless it is an isosceles trapezoid in which case it will have 2 pairs of congruent base angles
A General Quadrilateral
A rectangle has two pairs of congruent sides, but any pair of adjacent sides is non-congruent.