How are midsegments of trapezoids and triangles alike? How are they different?

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25-07-2017
Mathematics

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How are midsegments of trapezoids and triangles alike? How are they different?

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eco92 eco92 · Answer 1 · 2017-07-31T12:16:35+02:00

similarity 1.

Midsegments of a triangle and a trapezoid are alike, because their endpoints, are the midpoints of the sides they touch.

similarity 2.
The length of the midsegment of a trapezoid is (large base+small base)/2

whereas, the length of a midsegment of a triangle is base/2.

difference 1:

Midsegments of triangles and trapezoids are different, because we can draw 3 of them in triangles, but only one in trapezoids.

(we can only join the midpoints of the nonparallel sides of a trapezoid to form its only midsegment.)