Proving Quadrilaterals are Parallelograms. This is so confusing.?

i am given that line JI is parrellel to line HK, and line JI is congruwnt to line HK Diagonals IH and JK angle 1 is congruent to angle 4 and angle 2 is congrunet to angle 3 because __(1)__ are congruent. This allows us to prove that IJL is congruent to HKL by __(2)__. This allows us to state that IL is congruent to HL and JL is congruent to KL because __(3)__. In other words, diagonals IH and JK __(4)__ each other by the definition of bisector. According to Theorem 5-7, quadrilateral HKIJ is a parallelogram because the diagonals IH and JK bisect each other.