Reading: Chapter 3 of Berele and Goldman
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Write up answers to each of the following problems. Please remember to turn in a well-written and neat version, not a draft.
3.1 - Berele-Goldman, Problem 3.3. - Area of two rectangles with a common vertex on the diagonal of a bigger rectangle.
3.2 - Berele-Goldman, Problem 3.4 - Find a rectangle whose area = sum of areas of 2 given rectangles.
3.3 - Berele-Goldman, Problem 3.5 - In a right triangle, h = ab/c.
3.4 - Berele-Goldman, Problem 3.6 - In convex ABCD with perpendicular diagonals, AB^2 + CD^2 = BC^2 + DA^2.
3.5 - Berele-Goldman, Problem 3.7 - Proof of Pythagorean Theorem based on area of a square with sides = hypotenuses of 4 triangles inside the square.
3.6 - Berele-Goldman, Problem 3.15 - Decompose polygons into other polygons.
3.7 - Draw a trapezoid (which should be "random" or "general", not a special shape). Then show 6 proofs by cutting and pasting of the area formula for a trapezoid. Given a brief but convincing explanation for each (i.e., if you say a figure is a parallelogram or rectangle, why is this so?).