If r1, r2, and r3 represent rotations from D and represent reflections from D de

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If r1, r2, and r3 represent rotations from D and represent reflections from D determine whether is a rotations or a reflection. Find elements A, B, and C in D such that AB = BC but A C. (Thus, "Cross cancellation" is not valid) Explain what the following diagram proves about the group D Describe the symmetries of a nonsquare rectangle. Construct the corresponding Cayley table. Describe the symmetries of a parallelogram that is neither a rectangle nor a rhombus. Describe the symmetries of a rhombus that is not a rectangle.

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