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Question

Which of the following letters does not have rotational symmetry?

The correct answer is

E

To determine which letter does not have rotational symmetry, we first need to understand what rotational symmetry means. A figure or object has rotational symmetry if it looks the same after a certain amount of rotation around a central point. Typically, the symmetry is assessed when rotated by 180 degrees and 360 degrees (a full turn). Let's evaluate each given option:

  • E: The letter E, when rotated 180 degrees, does not look the same as its original position. Hence, it does not have rotational symmetry.
  • O: The letter O has rotational symmetry, as it looks the same when rotated by 180 degrees due to its circular shape.
  • N: The letter N, when flipped or rotated by 180 degrees, does not resemble its original orientation. Thus, it lacks rotational symmetry.
  • H: The letter H has rotational symmetry. When rotated by 180 degrees, it looks identical to its original configuration.

Therefore, the letter E is the correct answer as it does not have rotational symmetry.

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Important Questions from Symmetry and Reflection

  1. Number of lines of symmetry in a square is -

  2. The curve given by xy = 15 is symmetrical about what?

  3. Nitu is always confused in identifying the transformations. Her mathematics teacher helped her by giving one simple word for each transformation namely : Reflection, Rotation, Translation and Enlargement.
    Which of the following represents the correct sequence of meaning of each transformation as given above?
    (1) Flip, Slide, Turn and Bigger Figure
    (2) Turn, Slide, Flip and Bigger Figure
    (3) Flip, Turn, Slide and Bigger Figure
    (4) Slide, Flip, Turn and Bigger Figure
  4. Which of the following has/have only two lines of symmetry?
    A. Equilateral triangle
    B. Rectangle
    C. Rhombus
    D. Isosceles triangle
    Choose the correct option.
  5. Which of the following letters has a rotational symmetry but no line symmetry?
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