coordinate geometry vs geometry

coordinate geometry and geometry both are nouns.

Word	Noun	Adjective	Verb	Adverb
coordinate geometry	Yes	No	No	No
geometry	Yes	No	No	No

As nouns, geometry is a hypernym of coordinate geometry; that is, geometry is a word with a broader meaning than coordinate geometry:

coordinate geometry: the use of algebra to study geometric properties; operates on symbols defined in a coordinate system
geometry: the pure mathematics of points and lines and curves and surfaces

coordinate geometry (noun)	geometry (noun)
the use of algebra to study geometric properties; operates on symbols defined in a coordinate system	the pure mathematics of points and lines and curves and surfaces