A trapezoid is a 4 sided quadrilateral shape
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A trapezoid is not a type of parallelogram. A parallelogram is a type of trapezoid.
Quadrelateral
Depending upon exactly where the cut is made (and the shape/type of the original trapezoid), a trapezoid cut into two pieces [of equal area] can result in: 1: two trapezoids 2: a trapezoid and a parallelogram 3: a trapezoid and a [general] quadrilateral 4: a parallelogram and a triangle 5: two triangles.
It is an isosceles trapezoid
Yes, there are right trapezoid, a regular trapezoid and isosceles trapezoid and more