Is there a theorem that focuses on two sides and a non-included angle?
We cannot prove the triangles are congruent.
Practice makes perfect
Examining the diagram in the exercise, we see that the two triangles have two pairs of congruent corresponding sides as well as a pair of congruent angles that are not included.
XY≅JK, YZ≅KL and ∠Z ≅ ∠L
There is no corresponding theorem using two sides and a non-included angle. Therefore, there is not enough information to determine that the triangles are congruent.
