Question

1. a. aa~ b. sss~ c. sas~ d. not similar

Explanation:

Step1: Calculate the ratios of corresponding sides

For the two triangles, we calculate the ratios of the sides.
The ratio of the first pair of sides: \(\frac{28}{40}=\frac{7}{10}\)
The ratio of the second pair of sides: \(\frac{42}{60}=\frac{7}{10}\)

Step2: Check the included angle

Since the two sides are in proportion (\(\frac{28}{40}=\frac{42}{60}\)) and the included angle (the angle between the two sides) is common (equal). According to the SAS (Side - Angle - Side) similarity criterion.

Answer:

C. \(SAS\sim\)