two-dimensional figure vs plane figure

two-dimensional figure and plane figure both are nouns.

Word	Noun	Adjective	Verb	Adverb
two-dimensional figure	Yes	No	No	No
plane figure	Yes	No	No	No

As nouns, two-dimensional figure and plane figure are synonyms defined as:

two-dimensional figure (noun)	plane figure (noun)
a two-dimensional shape	a two-dimensional shape