Question

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

Answer 1

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.

`(3)/(9)\\eq(9)/(18)`

So rectangles are not similar.

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

`(9)/(3)\\eq (3)/(6)`

So figures are not similar.

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

`(9)/(3)=(3)/(1)`

Therefore, figures are similar.

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

`(3)/(2)\\eq (9)/(8)`

So given rectangles are not similar.

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

`(9)/(18)=(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.