A rhombus.
A parallelogram has opposite sides and angles congruent which means of equal measure.
An isosceles triangle is a triangle that has two equal sides. The two angels opposite the equal sides are equal angels.
rhombus. The rhombus is a quadrilateral with all sides equal in length. It is also a parallelogram, so opposite sides are parallel and equal in length, and opposite angles are equal.
Parallogram
Rectangle Parallelogram
A parallelogram.
They are equal and parallel.
Equal and parallel
It is not possible for a quadrilateral in Euclidean plane geometry to have no equal angles and still have its opposite sides parallel.It's possible for a quadrilateral to have no equal angles and two of its sides parallel (opposite ones, obviously; adjacent sides can't possibly be parallel). That would be a trapezoid.
A general quadrilateral.
If a set of equal sides are adjacent, then the quadrilateral is a "kite" shape. If a set of equal sides are opposite, then the quadrilateral is a parallelogram.
rectangle