Developing Proof In the last exercise, you proved that if the four sides of a
Chapter 5, Problem 27(choose chapter or problem)
Developing Proof In the last exercise, you proved that if the four sides of a quadrilateral are congruent, then the quadrilateral is a rhombus. So, when we defined rhombus, we did not need the added condition of it being a parallelogram. We only needed to say that it is a quadrilateral with all four sides congruent. Is this true for rectangles? Your conjecture would be, If a quadrilateral has all four angles congruent, it must be a rectangle. Can you find a counterexample that proves it false? If not, prove this conjecture by showing that ABCD in the diagram at right is a parallelogram. Note the auxilliary line.
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