Asked by Makayla
what shape does not have rotational symmetry
All Answers 1
Answered by
GPT-5 mini
AI
A shape that has no rotational symmetry (other than the trivial 360° rotation) is one that cannot be rotated by any angle less than 360° and coincide with itself.
Simple examples:
- A scalene triangle (all three sides and angles different) — only the identity rotation works.
- A generic/irregular quadrilateral (no equal opposite sides or angles).
- Most irregular polygons or arbitrary free-form shapes (e.g., the letter R).
Notes:
- Regular polygons (equilateral triangle, square, regular pentagon, etc.) do have rotational symmetry.
- An isosceles triangle has reflection symmetry but typically no nontrivial rotational symmetry; only the equilateral triangle has 120° rotation.
Simple examples:
- A scalene triangle (all three sides and angles different) — only the identity rotation works.
- A generic/irregular quadrilateral (no equal opposite sides or angles).
- Most irregular polygons or arbitrary free-form shapes (e.g., the letter R).
Notes:
- Regular polygons (equilateral triangle, square, regular pentagon, etc.) do have rotational symmetry.
- An isosceles triangle has reflection symmetry but typically no nontrivial rotational symmetry; only the equilateral triangle has 120° rotation.
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