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Read Me - Area Relationship Instructions (Word Format) (37.0K)

Computer Investigation 10.2

1. A kite (see figure) is a quadrilateral with two non overlapping pairs of adjacent sides that are congruent.
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a. There is an interesting relationship between the area of a kite and the product of its two diagonals. Experiment with some different kites and form a conjecture about this relationship.
b. Does your conjecture hold for other quadrilaterals such as squares, rectangles, parallelograms, and trapezoids?
2. A square has been constructed on each side of triangle T (see figure below). The shaded triangles have been formed by connecting the outer vertices of the squares.
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a. How are the areas of the 4 triangles related? Experiment with a few figures and form a conjecture.
b. Test your conjecture by replacing triangle T by a right triangle or an obtuse triangle. Does your conjecture still to hold?