Material Detail

This task asks students to write a proof that applies the properties of parallel lines and congruent triangles to prove a parallelogram property. It can be used in the classroom as an individual, small group, or whole-group practice problem or as an assessment question. More examples of its use in the classroom can be found in the "Public Remarks" section below. Illustrative Mathematics provides this summary: "This is a reasonably direct task aimed at having students use previously-derived results to learn new facts about parallelograms, as opposed to deriving them from first principles. The solution provided (among other possibilities) uses the SAS triangle congruence theorem, and the fact that opposite sides of parallelograms are congruent."

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