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A square has both its diagonals and both its mid-lines (joining midpoints of opposite sides) drawn, as shown. How many triangles are there?

Competition practiceCounting Figures
  • A8
  • B12
  • C20
  • D16

Step-by-Step Solution

8 smallest triangles, 4 triangles that stand on a full side with the apex at the centre, and 4 half-squares cut off by a diagonal: .
Answer: D) 16

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