Question

In a dilation, CP = 22
and CP/ = 26

a. Find the scale factor.

Answer 1

To find the scale factor in a dilation, we can use the ratio of corresponding lengths in the original figure and the dilated figure.

In this case, we are given that CP = 22 and CP' = 26. The scale factor (k) can be calculated as:

k = CP' / CP

Substituting the given values, we have:

k = 26 / 22

Simplifying the fraction, we get:

k = 13 / 11

Therefore, the scale factor of the dilation is 13/11.

Answer 2

The scale factor in the dilation is approximately 1.1818.

In a dilation, the scale factor (k) is the ratio of the corresponding lengths in the original and dilated figures. It is calculated using the formula:

k = corresponding length in dilated figure/corresponding length in original figure

In this case, CP is the corresponding length in the original figure, and CP' is the corresponding length in the dilated figure.

Given that CP = 22 and CP' = 26, you can substitute these values into the formula:

k = 26/22

Now, calculate the value of k:

k = 26/22

k ≈ 1.1818

Therefore, the scale factor is approximately 1.1818.