Question

(Always, sometimes, never question) If two sides and a non-included angle of one triangle are congruent to two sides and a non-incldued angle of another triangle, then the two triangles are congruent.
A: always

B: sometimes

C: never

Answer 1

sometimes

the description is describing SSA, which is NOT a type of congruence.

since the congruent angle is non-included (which means it is not in between the two congruent sides), we can't say for sure if the triangles are congruent.

this is because the third side of the triangle is unknown, and that side might not be congruent to the same side in the other triangle.

i hope this helps!