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Count single triangles, then combine them to find larger triangles formed by adjacent sections.
Count single triangles, then combine them to find larger triangles formed by adjacent sections.
Count single triangles
Label the four quadrants of the square. Each quadrant is divided into two triangles. There are 4 quadrants multiplied by 2, giving 8 small triangles.
Count larger combined triangles
Looking at the central vertical line, there are 2 large triangles formed by two small ones. Looking at the horizontal line, there are 2 more large triangles. Finally, there are 2 large triangles formed by the diagonals crossing, totaling 4 combined triangles.
Final Summation
Total = 8 (small) + 4 (large) = 12 triangles.
B: 13 is incorrect as it exceeds the valid count. C: 11 is incorrect as it underestimates the count. D: 14 is incorrect as it overestimates the count.
A is correct because systematic counting of all individual and combined triangular regions within the provided grid results in exactly 12.
When counting triangles in a grid, always count by size (small units, then 2-unit combinations, then 4-unit combinations) to avoid missing any or double-counting.
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