Question

In which of the following figures does the shaded region represent $\frac{1}{4}$th of the triangle?

• A. Figure 1 only
• B. Figure 2 only
• C. Figures 2 and 3
• D. Figure 3 only

Answer 1

The correct option is A Figure 1 only

In figure 1, we can see that inside the bigger triangle, there are 4 smaller triangles of equal sizes. All of these triangles look the same. Therefore, the shaded portion in figure 1 will represent $\frac{1}{4}$th of the triangle.

In figure 2, the triangle is not divided into four equal portions. Therefore, we cannot represent it as a fraction of the whole triangle.

In figure 3, the triangle is divided into two smaller triangles of equal sizes. Therefore, the shaded portion here will only represent $\frac{1}{2}$ of the triangle.

Hence, option C is the correct answer