Question

question 14 of 40 determine the scale factor for △abc to △abc.

Explanation:

Step1: Recall scale - factor formula

The scale factor from $\triangle ABC$ to $\triangle A'B'C'$ is given by $\frac{\text{length in }\triangle A'B'C'}{\text{length in }\triangle ABC}$.

Step2: Identify corresponding side lengths

The length of side $AC = 5$ in and the length of corresponding side $A'C'=5 + 10=15$ in. Or we can use the ratio of the non - overlapping parts, if we consider the growth from $AC$ to $A'C'$. Here, if we take the ratio of the lengths of corresponding sides, say comparing the length of a side of $\triangle A'B'C'$ to the length of the corresponding side of $\triangle ABC$. For example, if we consider the side along the common line, and assume the side of $\triangle ABC$ is $5$ in and the side of $\triangle A'B'C'$ is $10$ in (the part that is an extension from the side of $\triangle ABC$). The scale factor $k=\frac{10}{5}=2$.

Answer:

D. 2