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A Midpoint Miracle

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A Midpoint Miracle

This classroom task gives students the opportunity to prove a surprising fact about quadrilaterals: that if we join the midpoints of an arbitrary quadrilateral to form a new quadrilateral, then the new quadrilateral is a parallelogram, even if the original quadrilateral was not.

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Connecting Givens to Proofs

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Connecting Givens to Proofs

Students will be able to identify givens that are necessary for completing a given quadrilateral proof.

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GeoGebra Slider that shows the properties of special quadrilaterals

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GeoGebra Slider that shows the properties of special quadrilaterals

Slider shows properties of special quadrilaterals (square, rhombus, rectangle and parallelogram).

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