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Pythagorean Theorem 

Pythagorean Theorem

Investigate whether the Pythagorean theorem holds for regular polygons other than squares appended to the sides of a right triangle.

 Napoleon's Theorem

 Napoleon's Theorem

Investigate both the hypotheses and conclusion of Napoleon's theorem. The worksheet leaves the name of the theorem as a research question.

Ptolemy's Theorem

Ptolemy's Theorem

Investigate the statement of Ptolemy's theorem. The worksheet leaves the name of the theorem as a research question.

Carlyle's Method

Carlyle's Method

Investigate, conjecture, and potentially prove Carlyle's method for geometrically finding the roots of quadratics.