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The corners of a hexagon, the midpoints of its sides and its centre are all marked, and three lines join opposite midpoints through the centre. How many line segments join two marked points along the drawn lines?

Competition practiceCounting Figures
  • A18
  • B21
  • C27
  • D24

Step-by-Step Solution

Each of the 6 sides holds 3 marked points (two corners and a midpoint): . Each of the 3 lines through the centre also holds 3 points: 9. Total .
Answer: C) 27

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