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What is a midsegment of a trapezoid in geometry?

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A trapezoid, also called a trapezium in some countries, is a quadrilateral with exactly one pair of parallel sides. read more

Extended Conjecture: (Trapezoid Midsegment Conjecture): The midsegment of a trapezoid is parallel to the bases and is equal in length to the average of the lengths of the two bases. Explanation: A midsegment of a trapezoid is a segment that connects the midpoints of the two non-parallel sides of a trapezoid. read more

Adjust the trapezoid above by dragging any vertex and convince yourself this is so. The length of the median is the average length of the bases, or using the formula: If one of the bases is zero length, the result is a triangle. and is identical to the triangle midsegment case. read more

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