Question

the two polygons below are similar.

complete the similarity statement.
$cdef \sim \square$
find the ratio of a side length in the first polygon to its corresponding side length in the second polygon.
simplify your answer and write it as a proper fraction, improper fraction, or whole number.

Explanation:

Step1: Match corresponding vertices

First, identify the corresponding sides: $CD=12$ matches $RS=3$, $DE=4$ matches $ST=1$, $EF=12$ matches $TQ=3$, $FC=4$ matches $QR=1$. So the vertex order for the second polygon is $RSTQ$.

Step2: Calculate similarity ratio

Take corresponding sides from first to second polygon: use $DE$ and $ST$.
$\text{Ratio} = \frac{DE}{ST} = \frac{4}{1} = 4$
(Alternatively, $\frac{CD}{RS} = \frac{12}{3} = 4$)

Answer:

Similarity statement: $CDEF \sim RSTQ$
Similarity ratio: $4$