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Complete the analogy, in which each number counts the lines of symmetry of the shape named: Equilateral triangle : 3 :: Regular hexagon : ?

Competition practiceAnalogy & Classification
  • A3
  • B12
  • C6
  • D9

Step-by-Step Solution

A regular hexagon folds onto itself about 3 lines joining opposite corners and about 3 more joining the midpoints of opposite sides, which makes 6 in all. The trap 3 counts only the corner-to-corner lines. 12 counts every line twice, once from each end. 9 is the number of diagonals of a hexagon, worked out as , and not its lines of symmetry.
Answer: C) 6

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