A parallelogram is such a shape.
rectangle
That is a parallelogram.
a rhombus
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.
A parallelogram
A parallelogram is such a shape.
trapizoid
rectangle
That is a parallelogram.
a rhombus
isosceles triangle has two sides equal in length and two angles of the same measure;
A parallelogram is a quadrilateral with opposite sides that are parallel and equal in length, and opposite angles that are equal. Two ways to describe a parallelogram could be as a shape with opposite sides that are both parallel and equal in length, or as a shape with opposite angles that are equal.
If the 2 nonparallel sides are of equal length it is a regular trap. Otherwise it is not.
-2
A polygon is any 2-dimensional shape with straight sides. Such a shape with sides of equal length would be called an equilateral polygon. If it is also convex (all the angles face the same way), then it would be called a regular polygon.
Impossible.