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Session 1:
Homework
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Problem H1 |  |
Draw five quadrilaterals, each on its own piece of patty paper. Use one quadrilateral for each construction below.
a. | Construct the eight medians of the first quadrilateral. (There will be two medians at each vertex.) |
b. | Construct the four midlines of the second quadrilateral. |
c. | Construct the four angle bisectors of the third quadrilateral. |
d. | Construct the four perpendicular bisectors of the sides of the fourth quadrilateral. |
e. | Construct four altitudes in the fifth quadrilateral -- one from each vertex. |
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Problem H2 | |
Try Problem H1 with a few different quadrilaterals. Don't just use "special" cases, like squares and rectangles. Record any observations about the constructions above. How is the situation different from what you saw with triangles?
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Problem H3 | |
Imagine a square casting a shadow on a flat floor or wall. Can the shadow be non-square? Non-rectangular? That is, can the angles in the shadow ever vary from 90°? |
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