As used in this chapter, "dependent child" means any child:
(A) Who is homeless or destitute or without adequate parental care, through no fault of the child's parents, guardian, or custodian;
(B) Who lacks adequate parental care by reason of the mental or physical condition of the child's parents, guardian, or custodian;
(C) Whose condition or environment is such as to warrant the state, in the interests of the child, in assuming the child's guardianship;
(D) To whom both of the following apply:
(1) The child is residing in a household in which a parent, guardian, custodian, or other member of the household committed an act that was the basis for an adjudication that a sibling of the child or any other child who resides in the household is an abused, neglected, or dependent child.
(2) Because of the circumstances surrounding the abuse, neglect, or dependency of the sibling or other child and the other conditions in the household of the child, the child is in danger of being abused or neglected by that parent, guardian, custodian, or member of the household.