OpenStudy (anonymous):
Help?
OpenStudy (anonymous):
Gina wrote the following paragraph to prove that the segment joining the midpoints of two sides of a triangle is parallel to the third side. Draw rABC on the coordinate plane with point A at the origin (0, 0). Let point B have the ordered pair (x1, y1) and locate point C on the x-axis at (x2, 0). Construct point D so it is the midpoint of . Point D has coordinates at by the Midpoint Formula. Construct point E so it is the midpoint of . The ordered pair of point E is by the Midpoint Formula. The slope of is found to be 0 through the application of the slope formula: When the slope formula is applied to , its slope is also 0. Since slope of and are identical, and are parallel by the Parallel Postulate. What is the flaw in Gina's proof?
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