Answer: The similar figures are 1,4,6. The figure 2 and 5 have different shape. The figure 3 have different ratio of side lengths.
Step-by-step explanation:
The given figure is a rectangle with length 6 yd and width 2 yd.
The figure 2 shows a triangle and figure 5 shows a parallelogram, therefore the figure 2 and 5 have different shape.
Two figure are called same if their corresponding sides have same proportion.
The figure 1 and 4 have two sides having length 2 yd and 6 yd, So, the figure 1 and 4 shows the similar figure.
The figure 6 have sides 4 and 12 which is twice of side length of given figure, therefore the sides increased by same proportion 2.
Thus, the figure 1,4,6 shows the figure similar to given figure.
In figure 3 the length is 6 and width is 3. The length is same but the width is different.
Therefore the figure 3 have different ratio of side lengths.