8. Can you prove the two triangles similar? If so, which postulate or theorem would you use to prove they are similar?

Question

8. Can you prove the two triangles similar? If so, which postulate or theorem would you use to prove they are similar?

1 has sides of 14 and 15 and an angle
2 has sides of 10 and 11 and an angle
Yes, they are similar by SAS~
Yes, they are similar by SSS~
Yes, they are similar by AA~
No, there is not information given to prove the two triangles similar.

Answer 1

To prove that the two triangles are similar, we can use the Angle-Angle similarity postulate (AA~). In this case, we have two angles in each triangle that are congruent, and the side lengths are not proportional. Since both triangles have a shared angle and another angle that is congruent, we can conclude that the two triangles are similar by AA~.