Learn English – good word for a square-rectangle relationship

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Any given square is always a rectangle, but a rectangle isn't necessarily a square, so squares and rectangles have a _ relationship. I've been noticing this sort of thing everywhere ever since I noticed that I didn't know a good word for it. I've been calling it a container relationship because one class of things is contained within a larger class of things. However, a "container" relationship doesn't sound very good and doesn't really convey the meaning on its own. A more elegant word would be helpful.

Edit:
A specific definition would be something like: a is always b. b is sometimes a.

Best Answer

You can utilize the word "subset" for this usage.

Squares are a "subset" of Rectangles.

Meaning, they are within the "set" of Rectangles, but not all rectangles are squares.

Taken from Google Define:

sub·set ˈsəbˌset
noun noun: subset;
plural noun: subsets;
noun: sub-set;
plural noun: sub-sets
DEFINTION

a part of a larger group of related things.

synonyms: subcategory, branch, subdivision, subsection, subsidiary

Examples:

"the quartet is a subset of our orchestral group"

Usage in MATHEMATICS

a set of which all the elements are contained in another set.