Correct option is D
Small triangles (basic divisions):
- The figure is divided into 8 small triangles by the intersecting lines within the square.
Triangles formed by combining two small triangles:
- In each quadrant (top-left, top-right, bottom-left, bottom-right), we can combine two small triangles to form a larger triangle. Since there are 4 quadrants:
- 4 larger triangles.
- In each quadrant (top-left, top-right, bottom-left, bottom-right), we can combine two small triangles to form a larger triangle. Since there are 4 quadrants:
Triangles formed by combining four small triangles:
- The triangles formed by combining all four triangles within one-half of the square (top or bottom, left or right):
- 2 triangles (one for the top half and one for the bottom half).
- The triangles formed by combining all four triangles within one-half of the square (top or bottom, left or right):
Triangles formed by combining all eight triangles (the entire square):
- The largest triangles are formed by combining all eight triangles:
- 2 triangles (one pointing up and one pointing down).
- The largest triangles are formed by combining all eight triangles:
Total count:
- Small triangles = 8
- Larger triangles (combining 2 small ones) = 4
- Larger triangles (combining 4 small ones) = 2
- Largest triangles (combining all 8 small ones) = 2
Total triangles = 8 + 4 + 2 + 2 = 16
Final Answer:
16 triangles









