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Letter ‘E’ of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about.
- a)both
- b)a horizontal mirror
- c)a vertical mirror
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Letter ‘E’ of the English alphabet have reflectional symme...
Horizontal mirror – B, C, D, E, H, I, O and X
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Letter ‘E’ of the English alphabet have reflectional symme...
Understanding Reflectional Symmetry
Reflectional symmetry, also known as mirror symmetry, occurs when one half of an object is a mirror image of the other half. In the case of the letter 'E', we can analyze its symmetry by considering how it would appear if reflected in a mirror.
Vertical vs. Horizontal Reflection
- Vertical Mirror: If we place a vertical mirror on the left or right side of the letter 'E', the two halves created by the mirror will look identical. The vertical line divides 'E' into two symmetrical parts, with the top, middle, and bottom lines remaining parallel and in the same arrangement.
- Horizontal Mirror: If we attempt to reflect 'E' using a horizontal mirror (above or below), the top and bottom sections do not align. The top arm of 'E' would appear at the bottom in the reflection and vice versa, which breaks symmetry.
Conclusion
Thus, the letter 'E' only exhibits reflectional symmetry when using a vertical mirror. The correct answer to the question is option 'B', as the shape of 'E' maintains its structure and symmetry only when reflected vertically. This understanding illustrates the importance of reflectional symmetry in recognizing and analyzing shapes in geometry.
Reflectional symmetry, also known as mirror symmetry, occurs when one half of an object is a mirror image of the other half. In the case of the letter 'E', we can analyze its symmetry by considering how it would appear if reflected in a mirror.
Vertical vs. Horizontal Reflection
- Vertical Mirror: If we place a vertical mirror on the left or right side of the letter 'E', the two halves created by the mirror will look identical. The vertical line divides 'E' into two symmetrical parts, with the top, middle, and bottom lines remaining parallel and in the same arrangement.
- Horizontal Mirror: If we attempt to reflect 'E' using a horizontal mirror (above or below), the top and bottom sections do not align. The top arm of 'E' would appear at the bottom in the reflection and vice versa, which breaks symmetry.
Conclusion
Thus, the letter 'E' only exhibits reflectional symmetry when using a vertical mirror. The correct answer to the question is option 'B', as the shape of 'E' maintains its structure and symmetry only when reflected vertically. This understanding illustrates the importance of reflectional symmetry in recognizing and analyzing shapes in geometry.
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