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A triangle has two lines drawn from its top vertex to the base and two lines drawn parallel to the base, as shown. How many triangles are there in the figure?

Competition practiceCounting Figures
  • A6
  • B18
  • C12
  • D9

Step-by-Step Solution

Every triangle has the top vertex and its base on one of the 3 horizontal lines. Each horizontal line is cut by the 4 lines from the apex in 4 points, giving bases. Total .
Answer: B) 18

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