Answer
We must prove that the two triangles created are similar:
1. On the Kite, it is given that JK equals LK and that HL equals HJ.
2. HK is equal to itself by the identity property.
3. Thus, $\triangle$HJK is congruent to $\triangle$HLK by SSS.
4. CPCTC, so HK must create equal angles on either side of it.
5. By the definition of bisector, this meas that HK is a bisector.
