theology vs catechetic

theology is a noun but catechetic is not a noun.

Word	Noun	Adjective	Verb	Adverb
theology	Yes	No	No	No
catechetic	No	Yes	No	No

theology (noun)	catechetic (noun)
the learned profession acquired by specialized courses in religion (usually taught at a college or seminary)
a particular system or school of religious beliefs and teachings
the rational and systematic study of religion and its influences and of the nature of religious truth

theology (adjective)	catechetic (adjective)
	of or relating to or resembling a rigorous catechism
	of or relating to or involving catechesis