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Which of these shapes has only linear symmetry and no rotational symmetry?
  • a)
    Letter A
  • b)
    Square
  • c)
    Letter F
  • d)
    Circle
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Which of these shapes has only linear symmetry and no rotational symme...
  • The original question asked for a shape with only linear symmetry and no rotational symmetry, but Letter A has both.
  • Letter F has only one line of symmetry (vertical) and no rotational symmetry, making it the correct choice.
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Community Answer
Which of these shapes has only linear symmetry and no rotational symme...
Understanding Symmetry
Symmetry in shapes can be classified into two main types: linear (or reflectional) symmetry and rotational symmetry.
Linear Symmetry
- A shape has linear symmetry if it can be divided into two identical halves by a straight line (the line of symmetry).
- For example, if you fold a shape along the line of symmetry, both sides will match perfectly.
Rotational Symmetry
- A shape has rotational symmetry if it can be rotated around a central point and still look the same at certain angles.
- For instance, a square can be rotated by 90 degrees and still appear unchanged.
Analysis of Each Option
1. Letter A
- This letter has both linear symmetry (vertical line) and rotational symmetry (180 degrees).
2. Square
- A square has multiple lines of symmetry (four) and also exhibits rotational symmetry (90 degrees).
3. Letter F (Correct Answer)
- The letter F has a vertical line of symmetry, but it does not look the same when rotated at any angle. Thus, it has only linear symmetry.
4. Circle
- A circle has infinite lines of symmetry and exhibits full rotational symmetry (any angle).
Conclusion
- The only shape among the options that has only linear symmetry and no rotational symmetry is the Letter F.
- Therefore, option 'C' is indeed the correct answer.
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