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5.5.C: Trapezoid Midsegment Theorem

Discovering the Trapezoid Midsegment Theorem.

A. Compare the trapezoid’s base angles with the corresponding angles at the midsegment. Are the angles congruent? What can you conclude about the midsegment compared to the bases? Are your findings about the midsegment true for all trapezoids? Complete the conjecture in 4A of the INM. B. What do you notice about the length of the midsegment and the sum of the lengths of the two bases? (Note that the Geogebra software rounds each length to the whole number.) Are your findings about the midsegment true for all trapezoids? Complete the conjecture in 4B of the INM.