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Groups and Symmetry Homework

Directions: Write your homework legibly with a pencil. Complete the homework on time and by yourself. For each problem, write the instructions, label the solution/proof and show all steps. Do not turn in your scratch work. Staple your pages together, with the problems in the correct order, and use this page as a cover sheet with your name at the top right.

(1) Determine the group of symmetries of a square.

(2) Determine the group of symmetries of an equilateral triangle.

(3) Determine the group of symmetries of an isosceles triangle.

(4) Determine the group of symmetries of a regular pentagon.

(5) Determine the group of symmetries of a rhombus.

(6) Determine the group of symmetries of a five-point star.

Abstract Algebra Books

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