Question

the two polygons below are similar.
complete the similarity statement.
pqrs ~
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 angles

Corresponding angles (marked with arcs) in PQRS and FEDC are equal.

Step2: Identify similarity statement

PQRS corresponds to FEDC (P→F, Q→E, R→D, S→C).

Step3: Calculate ratio of sides

Take corresponding sides: PS=30, FE=10. Ratio = $\frac{30}{10}=3$.

Answer:

FEDC
3