Question

ible) the triangles can be proven similar.
11.
a. aa~
b. sss~
c. sas~
d. not similar

Explanation:

Step1: Calculate the ratios of the corresponding sides

For the two triangles, we have two pairs of corresponding sides.
The ratio of the first pair of sides is \(\frac{8}{20.8}=\frac{80}{208}=\frac{5}{13}\)
The ratio of the second pair of sides is \(\frac{9}{23.4}=\frac{90}{234}=\frac{5}{13}\)
Since the two sides are in proportion \(\frac{8}{20.8}=\frac{9}{23.4}\), and the included angle is common (shared between the two triangles)

Step2: Apply the SAS similarity criterion

By the SAS (Side - Angle - Side) similarity criterion, if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the two triangles are similar.

Answer:

C. SAS~