Prove parallelogram theorems and their converses, including diagonal and rectangle results.
Choose the sufficient condition that proves a quadrilateral is a parallelogram
Problem
A quadrilateral has \(\text{both}~\text{pairs}~\text{of}~\text{opposite}~\text{sides}\) congruent. Name the sufficient-condition converse that proves the quadrilateral is a parallelogram.
To identify a sufficient-condition theorem, match both the type of evidence and the direction of the implication. We’ll verify that the marks cover two complete opposite-side pairs, require a conclusion about the quadrilateral’s classification, and reject conditions based on angles, diagonals, or only one side pair.
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