State what additional information is required in order to know that the triangles are congruent for the reason given.

Answer/Step-by-step explanation:
1. Only one side and an included angle is known. To prove that both triangles are congruent by the SAS Congruence Theorem, an additional information such as a corresponding second side (KJ, and HJ) must be given to be equal to each other.
KJ = HJ
2. Additional information such as a second corresponding angle (angles C and W must be known to prove both triangles are congruent by SAS.
<C = <W
3. Additional information needed is a second corresponding angles must be known to prove the AAS.
4. Additional information needed is the corresponding angles, R and L, which should be equal to prove the ASA.
<R = L
5. Additional information needed: <C = <H