Completion Of Figures

The correct option is (D):

The correct option is (C):

Figure (X) shows four pieces: three identical triangles with a dot near one of the vertices, and one smaller triangle with dots near two of its vertices. Let's analyze each option to see if it can be formed by combining these pieces:
Option 1: This figure is a square divided into smaller triangles. It uses more than four triangular pieces and the arrangement of dots does not match the pieces in Figure (X). Therefore, Option 1 cannot be formed from the pieces in Figure (X).
Option 2: This figure is a square divided into four triangles. Three of these triangles are identical in shape and size to the larger triangles in Figure (X), and each has a dot near one of its vertices, consistent with Figure (X). The fourth triangle is smaller and has dots near two of its vertices, matching the smaller triangle in Figure (X). The orientation of the pieces also aligns with how they could be arranged. Therefore, Option 2 can be formed from the pieces in Figure (X).
Option 3: This figure is a square divided into four triangles. While there are four triangular pieces, the arrangement of dots in the larger triangles (two dots each) does not match the single dot in the larger triangles of Figure (X). Therefore, Option 3 cannot be formed from the pieces in Figure (X). Based on the analysis, only Option 2 can be formed by combining the pieces given in Figure (X).

The correct option is (C) :(C)