Explanation:

![Diagram Required]()\nLet's systematically count the triangles in the given figure. The figure is a large square divided into four smaller squares by a central horizontal and a central vertical line. Each of these four smaller squares has its diagonals drawn. 1. **Smallest Triangles (1-unit triangles):** Each of the four smaller squares (quadrants) is itself a square with its diagonals drawn. In such a square, there are 4 small triangles meeting at the center of that square. Since there are 4 such quadrants, the total number of smallest triangles is $4 \times 4 = 16$. 2. **Larger Triangles (formed by 4 smallest triangles):** Consider the large square as a whole. The central horizontal and vertical lines, along with the diagonals of the smaller squares, effectively create lines from the center of the large square to its four corners. This forms 4 large triangles whose bases are the sides of the overall large square and whose apex is the center of the large square. * One triangle with the top side of the large square as its base. * One triangle with the bottom side of the large square as its base. * One triangle with the left side of the large square as its base. * One triangle with the right side of the large square as its base. These 4 triangles are distinct from the 16 smallest triangles. \nTotal number of triangles = (Number of smallest triangles) + (Number of larger triangles)\nTotal = $16 + 4 = 20$. \nLet's analyze the options:\nOption (A) 20: This count is consistent with our systematic enumeration. This is the correct option.\nOption (B) 24: This count is higher than the actual number of triangles found. There are no additional triangles that would bring the total to 24 without double-counting or misinterpreting the figure.\nOption (C) 22: This count is incorrect. It's either an undercount or an overcount based on an erroneous method.\nOption (D) 26: This count is significantly higher than the actual number of triangles. It's incorrect.