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Trapezoid Midsegment Theorem: A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases.Given: ABCD is a trapezoid AB ∥ DC. EF Connects the midpoints of legs AD and BC. AE=ED and BF = FC.Prove: EF ∥ DC and EF = (1)/(2)(AB DC)We will use what we have already proven for triangle midsegments. We will create such triangles, by drawing a line from the vertex A through the midpoint, F, until it intersects
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