Question

What angles would have to be congruent to prove SAS similarity theorem?

A. A=B, S=S

B. B=C, S=S

C. A=C, S=S

D. none of the above

Answer 1

For the SAS similarity theorem, a corresponding angle and the sides that form this angle in both triangles must be congruent and proportional respectively; hence the congruent angles would be A and B.

Step-by-step explanation:

To prove congruence using the SAS similarity theorem, two pairs of corresponding sides and the angle between them in both triangles must be proportional and congruent, respectively. So, for triangles to be similar by SAS, one angle of one triangle must be congruent to the corresponding angle of the other triangle, and the sides including this angle must be proportional. Therefore, if we denote the sides by 'S' and the angles by letters such as 'A' and 'B', the correct answer is A. A=B, S=SB.