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Solutions for Session 3: Homework
See solutions for Problems: H1 | H2 | H3 | H4 | H5
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Problem H2 | |
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Type of Quadrilateral |
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Do diagonals bisect each other? |
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Are diagonals congruent? |
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Are diagonals perpendicular? |
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Trapezoid |
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No |
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Maybe |
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Maybe |
Isosceles Trapezoid |
No |
Yes |
Maybe |
Parallelogram |
Yes |
Maybe |
Maybe |
Rhombus |
Yes |
Maybe |
Yes |
Rectangle |
Yes |
Yes |
Maybe |
Square |
Yes |
Yes |
Yes |
Kite |
Maybe |
Maybe |
Yes |
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<< back to Problem H2
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Problem H4 | |
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Our definition requires that polygons divide the plane into an "interior" and an "exterior" region, which is not the case with a "flat" polygon. Also, the segment AB coincides with AC along its entire length; they do not just meet at an endpoint. (Likewise for BC and AC.)
<< back to Problem H4
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Problem H5 | |
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Answers may vary, but one reason that "flat" polygons would not be considered "polygons" is that they would be indistinguishable from one another or from a line segment.
<< back to Problem H5
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