Step 1: Understanding the Concept
Mendel's dihybrid cross of two traits gives a \(9:3:3:1\) phenotypic ratio in the \(\text{F}_2\) generation.
Step 2: Reason
This ratio is obtained only when the alleles of the two genes separate independently during gamete formation.
Step 3: Compare the options
Polygenic inheritance, linkage and multiple alleles do not give a 9:3:3:1 ratio. Linkage in fact reduces new combinations.
Final Answer:
The ratio shows that alleles of the two genes segregate independently.
\[ \boxed{\text{(C) }\text{alleles of two genes are segregated independently}} \]