A few days ago
Can somebody prove this theorem…..?
If one pair of opposite sides of a quadrilateral is both congruent and parallel, then it is a parallelogram.
Top 4 Answers
A few days ago
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Since the two sides run parallel to each other and they are congruent (equal sized) the remaining sides that connect them must also be parallel and congruent, otherwise they would not form a quadrilateral.
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A few days ago
In geometry, a parallelogram is a quadrilateral with two sets of parallel sides. The opposite sides of a parallelogram are of equal length, and the opposite angles of a parallelogram are congruent.
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A few days ago
it is a parallelogram because the other two sides must be congruent and parallel if the first pair of opposite sides are.
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A few days ago
If one pair of sides is congruent (same length) and parallel (same direction), then the other two sides must be the same distance apart throughout their lengths (parallel) – because their endpoints are on the ends of the other two sides (which are congruent), and those other two sides must be the same length (congruent), because their endpoints are on the ends of the other two sides (which are parallel). Couldn’t have it any other way!
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