Prove the Midpoint Connector Theorem using the associated Saccheri Quadrilateral of a triangle. In particular, the following ideas must be established (using the notation of Figure 3.63):
See Problems 16, 17, and 18 in Section 3.7.(1) B'C' = 2MN,
(2) every Saccheri Quadrilateral is a rectangle, and
(3) the opposite sides of a rectangle are congruent and parallel.
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