Two figures are similar. The ratio of the corresponding sides between the figures 4 to 12. Based on the ratio, which could be the scale factor used dilate one figure to create the other?
A. 3/4
B. 3.4
C. 0.4
D. 3
The scale factor is the ratio of the corresponding sides. In this case, the ratio is 4:12, which simplifies to 1:3. Therefore, the scale factor is 3/1 = 3. The answer is (D).
To find the scale factor used to dilate one figure to create the other, we need to reduce the ratio 4:12.
First, divide both numbers by their greatest common factor, which is 4.
4 ÷ 4 = 1
12 ÷ 4 = 3
The reduced ratio is 1:3.
This means that the corresponding sides between the figures are related by a scale factor of 1:3.
Therefore, the correct answer is:
D. 3