When two angles have the same number of markers, this indicates that the angles are congruent. Similarly, when two sides have the same number of markers, the sides are congruent.
From here, we can determine the congruence relationships between the angles of the triangles.
∠ KJG &≅ ∠ GHK
∠ JGK &≅ ∠ HKG
∠ GKJ &≅ ∠ KGH
All angles of △ JGK have congruent pairs in △ HKG.
Checking Sides
Now let's check the sides. We can see that GK is a common side for both triangles.
Therefore, the congruence relationships between the sides of the triangles can be written as follows.
GK &≅ GK
KJ &≅ GH
JG &≅ HK
All sides of △ JGK have congruent pairs in △ HKG.
Conclusion
Since the vertices of the two triangles can be paired up so that the corresponding angles and sides are congruent, the two triangles are congruent.
△ J G K ≅ △ H K G
