Mathematics
Assertion (A) : An equilateral triangle has a point of symmetry.
Reason (R) : A plane figure is said to have a point symmetry about a point, if every line segment drawn in the given figure passing through it is bisected by this point.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.
Symmetry
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Answer
A plane figure is said to have point symmetry about a point if every line segment drawn in the given figure passing through that point is bisected by it.
So, reason (R) is true.
A figure has point symmetry if it looks the same after being rotated 180 degrees about a central point.
If we rotate an equilateral triangle by 180°, it will not map onto itself. Thus, an equilateral triangle has no point of symmetry.
So, assertion (A) is false.
∴ A is false, but R is true.
Hence, option 4 is the correct option.
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Related Questions
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