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Q: Can a trapezoid and parallelogram have the same area?

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They are not.

A trapezoid and a parallelogram are both quadrilaterals. A trapezoid has exactly two parallel faces. A parallelogram has two pairs of parallel faces. A parallelogram has the same both "top" and "bottom" size. A trapezoid has different both "top" and "bottom" size.

Square = parallelogram and a square trapezoid = trapezoid Parallelogram = Parallelogram

A trapezoid is not a type of parallelogram. A parallelogram is a type of trapezoid.

is a trapezoid a parallelogram

For a parallelogram, take the base times the height. For a trapezoid, take the smaller base and times it by the height.

They both have parallel lines

trapezoid

No, a parallelogram is not a trapezoid.

No, a trapezoid is not a parallelogram.

No, a parallelogram is not a trapezoid.

They both use perpendicular height and are in square units. Area of a trapezoid = 0.5*(sum of parallel sides)*perpendicular height Area of a parallelogram = base*perpendicular height

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