| Field of Vision Problem-- Collect data on field of vision using various viewing tubes. Determine variables and relationship between variables. Justify relationship with geometric proof. |
(Monday) |
| Equilateral Triangle Problem -- What is the relationship between an interior point and the total distance from the point to the sides of an equilateral triangle? Does this relationship hold in other triangles? |
(Tuesday) |
| Overlapping Squares Problem -- If the vertex of a square is at the center of another square, what is the maximum area of the overlapping region of the two squares? How can you justify this? |
July 19 (Wednesday) |
| Triangle-within-a-Triangle Problem -- After creating a diagram of a triangle within a triangle using the one-third marks on the sides of the original triangle, determine relationships among other triangles created. Why do these relationships hold? |
(Wed. and Thurs.) |
| Trisecting an Angle Problem -- Can an angle be trisected? A procedure is shown, but why does it work? |
General Interest (Thursday) |
| Non-congruent Triangles Problem -- Does there exist a pair of triangles which are non-congruent yet have the same area and perimeter? The answer is yes. How can we find such triangles? How many are there for a given triangle? |
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Last updated July 11, 2000
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