The given triangles are not similar.
Two triangles are similar if their corresponding angles are congruent and their corresponding sides are proportional. In this case, the small triangle has sides measuring 1, 0.75, and 0.50, while the large triangle has sides measuring 3, 4, and 2.
To check for similarity, we can compare the ratios of the corresponding sides. Let's compare the ratios of the corresponding sides:
1/3 = 0.3333
0.75/4 = 0.1875
0.50/2 = 0.25
The ratios of the corresponding sides are not equal. Since the ratios of the sides are not proportional, the triangles are not similar.
Therefore, the reason why these triangles are not similar is that the ratios of their corresponding sides are not equal.