Section 5.4: Properties of Midsegments
A midsegment is the line segment connecting the midpoints of two sides of a triangle. Since a triangle has three sides, each triangle has three midsegments. A triangle midsegment is parallel to the third side of the triangle and is half of the length of the third side. Another important set of polygon midsegment properties to be familiar with are trapezoid midsegment properties.
A midsegment of a trapezoid is the line segment connecting the midpoints of the two non-parallel sides of a trapezoid. A trapezoid midsegment is parallel to the set of parallel lines in a trapezoid and is equal to the average of the lengths of the bases. A trapezoid midsegment is related to a triangle midsegment given that both of their lengths are proportional to the bases.
A midsegment of a trapezoid is the line segment connecting the midpoints of the two non-parallel sides of a trapezoid. A trapezoid midsegment is parallel to the set of parallel lines in a trapezoid and is equal to the average of the lengths of the bases. A trapezoid midsegment is related to a triangle midsegment given that both of their lengths are proportional to the bases.
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