Let C'P' be the image of CP after a dilation. The equation to calculate the scale factor, k, is _____.

Ak= 1/CP
Bk= C'P'/CP
Ck= CP/C'P'
Dk= 2/C'P'

Verified Answer :

After a dilatation: C´P´= CP * k
k = C´P´/ CP
Answer: B)

Answer:

Option B. \(k=\frac{C'P'}{CP}\)

Step-by-step explanation:

Let C'P' be the image of CP after a dilation. We have to find the equation to calculate the scale factor k.

First we will take an example, if C'P' is the dilated image of CP dilated by a factor of 2 then C'P' = 2×CP will be the equation.

Similarly if CD is enlarged by a factor of k to form C'P' then the equation will be C'P' = kCP

or \(\frac{C'P'}{CP}=k\)

Therefore, Option B. \(k=\frac{C'P'}{CP}\) is the answer.