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EEJ MAIN Aptitude QUESTION #10924
Question 1
A figure has point symmetry (rotational symmetry of order 2). Which of the following shapes does NOT have point symmetry?
  • Regular hexagon
  • Rectangle
  • Isosceles triangle✔️
  • Parallelogram
Correct Answer Explanation

Point symmetry (order 2) means the figure looks identical after a 180° rotation about a central point.

  • Regular hexagon: Has point symmetry (also order 6). ✓
  • Rectangle: A 180° rotation maps it onto itself. ✓
  • Isosceles triangle: A 180° rotation does NOT produce the same figure. ✗ — This is the answer.
  • Parallelogram: A 180° rotation about the intersection of diagonals maps it onto itself. ✓

An isosceles (non-equilateral) triangle has line symmetry but not point symmetry.