Which of these letters has only rotational symmetry?a)Sb)Ec)Bd)PCorrec...
Rotational symmetry in capital letters describes a property in which the letter looks the same after being rotated. Capital letters that have rotational symmetry are: Z, S, H, N and O.
The letters Z, S, H and N, when rotated 180 degrees clockwise or counterclockwise, will look the same after rotation completion. This is called rotational symmetry on the order of two, because there were two 90 degree rotations. The letter O has rotational symmetry on the order of one, because after being rotated by 90 degrees, it still looks the same.
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Which of these letters has only rotational symmetry?a)Sb)Ec)Bd)PCorrec...
Answer:
Introduction:
Rotational symmetry refers to an object's ability to be rotated and still appear the same. In the case of letters, rotational symmetry means that the letter can be rotated about its center and still look the same.
Explanation:
Out of the given letters (S, E, B, P), the letter "S" is the only letter that has only rotational symmetry. Let's analyze each letter to understand this:
S:
The letter "S" has rotational symmetry. If we rotate it 180 degrees about its center, it will still look the same. This is because it is a symmetric letter that looks the same when flipped upside down.
E:
The letter "E" does not have rotational symmetry. If we rotate it 180 degrees, it will not look the same. The middle horizontal line of the letter "E" will be upside down, making it different from its original form.
B:
The letter "B" does not have rotational symmetry. If we rotate it 180 degrees, it will not look the same. The top and bottom curves of the letter "B" will be flipped, making it different from its original form.
P:
The letter "P" does not have rotational symmetry. If we rotate it 180 degrees, it will not look the same. The curved part of the letter "P" will be upside down, making it different from its original form.
Conclusion:
Among the given letters, only the letter "S" has rotational symmetry. It can be rotated 180 degrees and still look the same. The other letters (E, B, P) do not have rotational symmetry as they do not retain their original form when rotated.