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.
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A trappaziod is a four sided shape.
when you cut a pentagon in half you create a trapizoid
a hemisphere
You get a hemisphere.
a smaller cylinder when cut horizontally. A semi-circle when cut vertically