Class 6 Exam > Class 6 Questions > Which shape will look the same after being ro...
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Which shape will look the same after being rotated by 180 degrees on the vertical axis?
- a)Letters like 'F', 'L', 'P', 'R'
- b)Equilateral Triangle
- c)Numbers like 4, 5, 6
- d)None of the above
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Which shape will look the same after being rotated by 180 degrees on t...
Understanding Rotation Symmetry
In geometry, rotation symmetry refers to how a shape looks after being turned around a central point. For a shape to look the same after being rotated 180 degrees, it must have a specific symmetry.
Evaluating Each Option
Conclusion
The correct answer is option B, the equilateral triangle. Its symmetrical properties allow it to remain unchanged when rotated 180 degrees, making it a perfect example of rotational symmetry. The other options lack this characteristic, confirming that only the equilateral triangle fits the criteria.
In geometry, rotation symmetry refers to how a shape looks after being turned around a central point. For a shape to look the same after being rotated 180 degrees, it must have a specific symmetry.
Evaluating Each Option
- Option A: Letters like F, L, P, R
- These letters do not maintain their appearance when rotated 180 degrees.
- Option B: Equilateral Triangle
- When an equilateral triangle is rotated 180 degrees, it still looks the same. This is because all sides and angles are equal, allowing for rotational symmetry.
- Option C: Numbers like 4, 5, 6
- These numbers change their appearance when rotated 180 degrees. For example, the number 5 becomes unrecognizable and the number 6 looks like a 9.
- Option D: None of the above
- This option is incorrect since the equilateral triangle does have the desired rotational symmetry.
Conclusion
The correct answer is option B, the equilateral triangle. Its symmetrical properties allow it to remain unchanged when rotated 180 degrees, making it a perfect example of rotational symmetry. The other options lack this characteristic, confirming that only the equilateral triangle fits the criteria.
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Community Answer
Which shape will look the same after being rotated by 180 degrees on t...
The shape that will look the same after being rotated by 180 degrees is an equilateral triangle. This is because the equilateral triangle has rotational symmetry of order 3, meaning it looks the same when rotated by 120°, 180°, or 240°.
For example: If you rotate an equilateral triangle by 180 degrees, it will still look identical, as all its sides and angles are equal.
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