Question 1137250
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Question: What is a letter of the alphabet that has Rotational symmetry but not reflexive symmetry?


Answer: The letter S


Further explanation: We can rotate this letter 180 degrees so that the new image matches with its original. We cannot draw a straight line in any fashion that it forms a mirror line to have one half match with the other. So that is why this letter does not have reflexive symmetry.


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Question: What is letter of the alphabet that has reflexive but not rotational symmetry?


Answer: The letter M


Further explanation: Draw a vertical line through the center. This line is a mirror line to reflect one half of the letter over to land on the other half, or you can think of folding a piece of paper so that one half matches with the other half. If we tried rotating the letter M, some number of degrees x such that 0 < x < 360, then this new image would not match up with the old original one. This shows there isn't any rotational symmetry for this letter.
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