Question

if △hli ~ △jlk by the sss similarity theorem, then
\frac{hl}{jl}=\frac{il}{kl} is also equal to which ratio?
o \frac{hi}{jk}
o \frac{hi}{jl}
o \frac{kl}{il}
o \frac{jk}{hi}

Explanation:

For similar triangles by SSS similarity, the ratios of corresponding sides are equal. In $\triangle HLI \sim \triangle JLK$, the order of vertices indicates corresponding sides: $HL$ corresponds to $JL$, $LI$ corresponds to $LK$, and $HI$ corresponds to $JK$. Thus, $\frac{HL}{JL} = \frac{LI}{KL} = \frac{HI}{JK}$.

Answer:

A. $\frac{HI}{JK}$