Let ABCD be a general, not necessarily planar, quadrilateral in space. Show that the two segments joining the midpoints of op-posite sides of ABCD bisect each other. (Hint: Show that the seg-ments have the same midpoint.)

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 8E: In Exercises 1 to 17, complete an analytic proof for each theorem. The line segments that join the...
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Let ABCD be a general, not necessarily planar, quadrilateral in space. Show that the two segments joining the midpoints of op-posite sides of ABCD bisect each other. (Hint: Show that the seg-ments have the same midpoint.)

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