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In a hexagon, the midpoints of opposite sides are joined by three lines through the centre. How many quadrilaterals are there?

Competition practiceCounting Figures
  • A0
  • B6
  • C3
  • D12

Step-by-Step Solution

The three lines cut the hexagon into 6 pieces, each with a corner of the hexagon, two side midpoints and the centre: 6 quadrilaterals. Two neighbouring pieces together have five sides, so no more appear.
Answer: B) 6

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