Question

triangle t is a scaled copy of triangle s. what scale factor takes triangle s to triangle t?

Explanation:

Step1: Convert mixed - numbers to improper fractions

$4\frac{3}{5}=\frac{4\times5 + 3}{5}=\frac{23}{5}$, $2\frac{9}{10}=\frac{2\times10+9}{10}=\frac{29}{10}$, $9\frac{1}{5}=\frac{9\times5 + 1}{5}=\frac{46}{5}$, $5\frac{4}{5}=\frac{5\times5+4}{5}=\frac{29}{5}$

Step2: Calculate scale factor using corresponding sides

Let's use the sides $\frac{23}{5}$ and $\frac{46}{5}$. The scale factor $k$ is given by the ratio of the side of triangle $T$ to the side of triangle $S$. So $k=\frac{\frac{46}{5}}{\frac{23}{5}}$.

Step3: Simplify the ratio

$\frac{\frac{46}{5}}{\frac{23}{5}}=\frac{46}{5}\times\frac{5}{23}=2$

Answer:

$2$