Redraw the given diagram separating the triangles.
D
Practice makes perfect
Let's start by redrawing the given diagram separating the triangles. Note that, by the Reflexive Property of Congruence, ∠L ≅ ∠L.
To prove triangle congruence by ASA, we need two pairs of congruent angles and congruent included sides. Since we already have that ∠L ≅ ∠L and that LK ≅ LN, we need ∠LKJ ≅ ∠LNM to apply the ASA Congruence Theorem. This corresponds with choice D.
