Proof: Trapezoid midsegment length | Geometry (FL B.E.S.T.) | Khan Academy

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Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now! https://www.khanacademy.org/math/geometry-fl-best/xba45aeb1cf923a80:hs-geo-similarity/xba45aeb1cf923a80:theorems-concerning-trapezoid-properties/v/proof-trapezoid-midsegment-length Let's prove that the midsegment of a trapezoid (the segment that joins the midpoints of the 2 legs) has a length equal to the average of the lengths of the two bases. We can use the properties of congruent and similar triangles to support our reasoning. This property holds true whether we define trapezoids has having at least one or exactly one pair of parallel sides. Khan Academy is a nonprofit organization with the mission of providing a free, world-class education for anyone, anywhere. We offer quizzes, questions, instructional videos, and articles on a range of academic subjects, including math, biology, chemistry, physics, history, economics, finance, grammar, preschool learning, and more. We provide teachers with tools and data so they can help their students develop the skills, habits, and mindsets for success in school and beyond. Khan Academy has been translated into dozens of languages, and 15 million people around the globe learn on Khan Academy every month. As a 501(c)(3) nonprofit organization, we would love your help! Donate or volunteer today! Donate here: https://www.khanacademy.org/donate?utm_source=youtube&utm_medium=desc Volunteer here: https://www.khanacademy.org/contribute?utm_sour

Published 2026-08-30 · Watch on YouTube ↗
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