Question

Drag each figure to show if it is similar to the figure shown or why it is not similar

Answer 1

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.

$\frac{3}{9}\neq\frac{9}{18}$

So rectangles are not similar.

Figure 2- rectangle with length = 3 yd and width = 6 yd

$\frac{9}{3}\neq \frac{3}{6}$

So figures are not similar.

Figure 3 - rectangle with length = 3 yd and width = 1 yd

$\frac{9}{3}=\frac{3}{1}$

Therefore, figures are similar.

Figure 4 -rectangle with length = 8 yd and width = 2 yd

$\frac{3}{2}\neq \frac{9}{8}$

So given rectangles are not similar.

Figure 5 - rectangle with length = 18 yd and width = 6 yd

$\frac{9}{18}=\frac{3}{6}$

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.