Similarity Theorems: Is the equality correct?

Look at the two triangles below.

$A_2B_2=A_1B_1$

$A_2C_2=A_1C_1$

Angle $A_1$ is equal to angle $A_2$.

Is triangle $A_1B_1C_1$ equal to triangle $A_2B_2C_2$?

Yes

Are the triangles similar?

Yes

$A_1B_1=A_2B_2$

Angle$A_1$ is equal to $A_2$.

$A_1C_1=A_2C_2$

Is the triangle $A_1B_1C_1$congruent with the triangle$A_2B_2C_2$?

Yes