Hyponymy and hypernymy are ways of describing how words are related. Think of them like a family tree.
Hyponymy is when a word has a certain kind of relationship with another word, like when you have a parent and a child. The child (or hyponym) is a type of the parent (or hypernym). For example, a cat is a kind of animal, so "cat" is the hyponym and "animal" is the hypernym.
Hypernymy is when a word has a certain kind of relationship with another word, like when you have a parent and a child. The parent (or hypernym) is the type that contains the child (or hyponym). For example, "animal" is the hypernym and "cat" is the hyponym because a cat is a type of animal.