contestada

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

A. k= 1/CP
B. k= C'P'/CP
C. k= CP/C'P'
D. k= 2/C'P'

Respuesta :

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

Answer:

Option B. [tex]k=\frac{C'P'}{CP}[/tex]

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 [tex]\frac{C'P'}{CP}=k[/tex]

Therefore, Option B. [tex]k=\frac{C'P'}{CP}[/tex] is the answer.