If you want to dilate a figure that has a side length of 20 yards, to create a dilated image with a corresponding side length of 15 yards, what scale factor should you use?

Responses

43
4 thirds - no response given

5 yards
5 yards
- no response given

34
3 fourths - correct

34 yard

The correct scale factor to use would be 3 fourths.

why?

Apologies for the confusion in my previous response.

To determine the scale factor, we need to divide the corresponding side length of the dilated figure by the corresponding side length of the original figure.

In this case, the corresponding side length of the dilated figure is 15 yards, and the corresponding side length of the original figure is 20 yards.

So, the scale factor would be:

Scale factor = Corresponding side length of dilated figure / Corresponding side length of original figure
Scale factor = 15 yards / 20 yards
Scale factor = 0.75

Therefore, the correct scale factor to use to dilate the figure from 20 yards to 15 yards would be 0.75 or 3/4.

show work

Apologies for the miscalculation in my previous response.

To determine the scale factor, we need to divide the corresponding side length of the dilated figure by the corresponding side length of the original figure.

In this case, the corresponding side length of the dilated figure is 15 yards, and the corresponding side length of the original figure is 20 yards.

Scale factor = Corresponding side length of dilated figure / Corresponding side length of original figure

Scale factor = 15 yards / 20 yards

Scale factor = 0.75

Therefore, the correct scale factor to use to dilate the figure from 20 yards to 15 yards would be 0.75 or 3/4.