Midpoint+Quadrilateral

Record your conjectures here:The area of the parallelogram formed by the midpoints is half of the area of the original quadrilateral.

Karen: When the midpoints of the sides of a quadrilateral are connected, the resulting shape is always a parallelogram

Amy: The area of the midpoint parallelogram is equal to the sum of the areas of the remaining regions. Amy: The area of the midpoint parallelogram is one-half the area of the original quadrilateral. OR The area of the quadrilateral is twice the area of the midpoint parallelogram. Ed: The area of the midsegment quadrilateral is half of the total area of the quadrilateral. Vivian: The area of the quadrilateral is half the area of the original.
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If the original quadrilateral is a square, then the innner quadrilateral would also be a square.

When the original quadrilateral is a rectangle, the inner quadrilateral is a rhombus.