Question

value 4 select the correct triangle similarity statement and select the postulate that proves the two triangles are similar.

Explanation:

Step1: Check side - length ratios

$\frac{25}{45}=\frac{5}{9}$, $\frac{50}{90}=\frac{5}{9}$, $\frac{35}{63}=\frac{5}{9}$

Step2: Determine similarity

Since $\frac{SU}{KM}=\frac{UT}{ML}=\frac{ST}{KL}$, by SSS (Side - Side - Side) similarity postulate, $\triangle{KML}\sim\triangle{UTS}$.

Answer:

$\triangle{KML}\sim\triangle{UTS}$, SSS similarity postulate