What shape does it have to be?

What does quadrilateral ABCD have to be even if any given point is moved on the shape?

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What does quadrilateral EFGH have to be even if any given point is moved on the shape?

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What does quadrilateral IJKL have to be even if any given point is moved on the shape?

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What does quadrilateral MNOP have to be even if any given point is moved on the shape?

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What does quadrilateral QRST have to be even if any given point is moved on the shape?

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