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Letter ‘T’ 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 'C'. Can you explain this answer?
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Understanding Reflectional Symmetry
Reflectional symmetry, also known as mirror symmetry, occurs when an object can be divided into two identical halves that mirror each other across a specific line. For the letter 'A', we need to analyze its structure to determine where this symmetry lies.
Analysis of the Letter 'A'
- The letter 'A' consists of two diagonal lines that meet at the top and a horizontal line that connects them in the middle.
- If you draw a vertical line down the center of the letter 'A', you will see that the left side is a mirror image of the right side.
Vertical Mirror Symmetry
- A vertical mirror (imaginary line) allows us to visualize how each side of the letter 'A' reflects perfectly.
- The left diagonal line reflects onto the right diagonal line, and the horizontal line remains unchanged.
Why Not Horizontal or Other Mirrors?
- A horizontal mirror would cut the letter 'A' into top and bottom halves, which do not match each other.
- Similarly, other angles or placements of mirrors do not produce reflective symmetry for 'A'.
Conclusion
The letter 'A' has reflectional symmetry specifically about a vertical mirror. Therefore, the correct answer to the question is option 'C'. Understanding these concepts of symmetry is essential in geometry and design, helping to develop a keen eye for patterns and balance.
Reflectional symmetry, also known as mirror symmetry, occurs when an object can be divided into two identical halves that mirror each other across a specific line. For the letter 'A', we need to analyze its structure to determine where this symmetry lies.
Analysis of the Letter 'A'
- The letter 'A' consists of two diagonal lines that meet at the top and a horizontal line that connects them in the middle.
- If you draw a vertical line down the center of the letter 'A', you will see that the left side is a mirror image of the right side.
Vertical Mirror Symmetry
- A vertical mirror (imaginary line) allows us to visualize how each side of the letter 'A' reflects perfectly.
- The left diagonal line reflects onto the right diagonal line, and the horizontal line remains unchanged.
Why Not Horizontal or Other Mirrors?
- A horizontal mirror would cut the letter 'A' into top and bottom halves, which do not match each other.
- Similarly, other angles or placements of mirrors do not produce reflective symmetry for 'A'.
Conclusion
The letter 'A' has reflectional symmetry specifically about a vertical mirror. Therefore, the correct answer to the question is option 'C'. Understanding these concepts of symmetry is essential in geometry and design, helping to develop a keen eye for patterns and balance.
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Letter ‘T’ of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about.a)bothb)a horizontal mirrorc)a vertical mirrord)None of theseCorrect answer is option 'C'. Can you explain this answer?
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