Household is related to Dog. Dog is related to Loyal. 
Troubled is a synonym of Anxious. Anxious is a synonym of Nervous. Nervous is related to Anxiety. Anxiety is a synonym of Care. 
Household <--RelatedTo--> Dog <--RelatedTo--> Loyal 
Troubled <--Synonym--> Anxious <--Synonym--> Nervous <--RelatedTo--> Anxiety <--Synonym--> Care 