Question

which similarity statement relates △abc and △def? image of two triangles with side lengths and angles a) aa similarity b) sas similarity c) sss similarity d) there is not enough information to prove the triangles similar.

Explanation:

Step1: Check angle condition

In $\triangle ABC$ and $\triangle DEF$, $\angle A = \angle D = 60^\circ$, so one pair of angles is equal.

Step2: Check side ratio condition

Calculate the ratios of corresponding sides: $\frac{AB}{DE}=\frac{35}{55}=\frac{7}{11}$, $\frac{AC}{DF}=\frac{42}{66}=\frac{7}{11}$. So the sides around the equal angle are proportional.

Step3: Identify similarity criterion

Since we have a pair of equal angles and the sides including the angle are proportional, this matches the SAS (Side - Angle - Side) Similarity criterion.

Answer:

B) SAS Similarity