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Every small square in a grid of two rows and three columns has one diagonal drawn, all slanting the same way. How many triangles are there?

Competition practiceCounting Figures
  • A12
  • B14
  • C18
  • D16

Step-by-Step Solution

Each of the 6 small squares gives 2 halves, 12. Two pairs of diagonals line up into longer slanting lines, each across a 2 by 2 block of squares; each such line cuts its block into 2 big triangles, 4 more. Total .
Answer: D) 16

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