ind the order of each element of the dihedral group D4 of symmetries of a square

Question

ind the order of each element of the dihedral group D4 of symmetries of a square

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Solution 1

The dihedral group D4 has 8 elements: 4 rotations and 4 reflections.

The identity rotation (0 degrees) has order 1 because applying it once brings you back to the original position.
The 90 degrees rotation has order 4 because you need to apply it 4 times to get back to the original position Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

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