Answer:
Step-by-step explanation:
The given figure is a rectangle having length = 9 yd and width = 3 yd
Now we will check each figure
Figure one- rectangle with length = 18 yd and width = 9 yd
For similarity of both rectangles ratio of length should be equal to ratio of widths.
[tex]\frac{3}{9}\neq\frac{9}{18}[/tex]
So rectangles are not similar.
Figure 2- rectangle with length = 3 yd and width = 6 yd
[tex]\frac{9}{3}\neq \frac{3}{6}[/tex]
So figures are not similar.
Figure 3 - rectangle with length = 3 yd and width = 1 yd
[tex]\frac{9}{3}=\frac{3}{1}[/tex]
Therefore, figures are similar.
Figure 4 -rectangle with length = 8 yd and width = 2 yd
[tex]\frac{3}{2}\neq \frac{9}{8}[/tex]
So given rectangles are not similar.
Figure 5 - rectangle with length = 18 yd and width = 6 yd
[tex]\frac{9}{18}=\frac{3}{6}[/tex]
So rectangles are similar.
Figure 6 - trapezoid with larger base = 18 yd and height = 6 yd
Since shapes of the given figures are not same so they are not similar.
