That depends where the cut is made if it's from vertex to vertex it will make 2 triangles otherwise it will make 2 quadrilaterals
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When a trapezoid is cut in half, the resulting shape is two identical triangles. Each triangle will have a base that is half the length of the original trapezoid's base, and the two non-parallel sides of the trapezoid will become the two equal sides of the triangles. The height of the trapezoid will also be split in half to form the height of each triangle.
Well, honey, a trapezoid cut in half would give you two pieces that are each a triangle. So, technically speaking, a trapezoid cut in half results in two triangles. Hope that clears things up for you, darling.
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.
Quadrelateral
you get a trapezoid
2 triangels
fold it in half and cut it the corners