Question

question 20 of 33
determine the scale factor for △abc to △abc.

Explanation:

Step1: Identify corresponding side lengths

Let's assume side $AC = 4$ cm and side $A'C'=8$ cm.

Step2: Calculate scale - factor formula

The scale factor $k$ from $\triangle ABC$ to $\triangle A'B'C'$ is given by $k=\frac{\text{length of side in }\triangle A'B'C'}{\text{length of corresponding side in }\triangle ABC}$. So $k = \frac{A'C'}{AC}$.

Step3: Substitute values

Substitute $A'C' = 8$ cm and $AC = 4$ cm into the formula: $k=\frac{8}{4}=2$.

Answer:

B. 2