Question

Figure 1 is dilated to get figure 2 What is the scale factor?

Enter your answer, as an improper fraction in simplified form, in the box.

Answer 1

Scale factor is 9/6 which simplifies to 3/2

Answer 2

Answer: The required scale factor is 1.5.

Step-by-step explanation: Given that the figure 1 is dilated to figure 2.

We are to find the scale factor of dilation.

We know that

the scale factor of dilation is defined as

`S=\frac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}.`

From the picture, we note that

length of a side of the original figure 1, l = 6 units

and

length of the corresponding side of the dilated figure 2, l' = 9 units.

Therefore, the required scale factor of dilation is given by

`S=(l')/(l)=(9)/(6)=(3)/(2)=1.5.`

Thus, the required scale factor is 1.5.