Question

which rule explains why these scalene triangles are similar?

sss
sas
aa
none of the above; the triangles cannot be proven similar

Explanation:

Step1: Calculate side ratios

$\frac{US}{GH} = \frac{28}{35} = \frac{4}{5}$, $\frac{UT}{GI} = \frac{44}{55} = \frac{4}{5}$

Step2: Match included angles

The included angles $\angle U$ and $\angle G$ are marked as equal.

Step3: Apply similarity rule

Two sides are in proportion, included angles equal: SAS similarity.

Answer:

SAS