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14. One of the classic proofs of the Pythagorean Theorem involves the
diagram below where square ABCD has had points E, F, G, and H located
on its sides such that AE = BF=CG= DH as shown. The proof then
relies on quadrilateral EFGH being a square.

(a) First, explain why EFGH must be a rhombus. Use a paragraph proof
style, but carefully justify all of your statements with reasons.

(b) Give an explanation for why all interior angles of EFGH must be right angles? Explain why this fact in
combination with your proof in part (a) show that EFGH is a square?

14 One of the classic proofs of the Pythagorean Theorem involves the diagram below where square ABCD has had points E F G and H located on its sides such that A class=


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