The three words below can be broken up in such a way that a new word can be placed within each of them to create two words - one beginning with the first part of the original word and the other ending with the remainder of the word.  The three new words are related. What are they, and what are the six new words? One of the new words is related to geography.

TENDER

GLEAN

DETER

 

Answer:

 

The three new words are the conjunctions OR, AND, BUT:

 

TENOR - ORDER

GLAND - ANDEAN 

DEBUT - BUTTER