Suppose we draw the line segment connecting the midpoints of the nonparallel sides of a trapezoid. Use coordinates to prove that this segment is parallel to the parallel sides and that its length is the average of their lengths. In addition, prove that the length of this segment times the height of the trapezoid gives its area.

Suppose we draw the line segment connecting the midpoints of the nonparallel sides of a trapezoid. Use coordinates to prove that this segment is parallel to the parallel sides and that its length is the average of their lengths. In addition, prove that the length of this segment times the height of the trapezoid gives its area.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter5: Similar Triangles

Section5.3: Proving Triangles Similar

Problem 41E: Prove that the altitude drawn to the hypotenuse of a right triangle separates the right triangle...

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