different between unconnected vs incongruous

English

un- +? connected

unconnected (comparative more unconnected, superlative most unconnected)

Not connected or joined.
The light wouldn't work because the cable was unconnected.
Confused or disconnected.
He talked in an unconnected series of short sentences.
Without connections of family, etc.

From Latin incongruus, from in- (“not”) + congruus (“congruent”).

incongruous (comparative more incongruous, superlative most incongruous)

Not similar or congruent; not matching or fitting in.
- 1853, Charlotte Brontë, Villette, ch. 34:
  [P]erhaps he thought me, with my basket of summer fruit, and my lack of the dignity age confers, an incongruous figure in such a scene.
- 1912, Jack London, A Son Of The Sun, ch. 1:
  Ardent suns had likewise tanned his face till it was swarthy as a Spaniard's. The yellow mustache appeared incongruous in the midst of such swarthiness.
- 2014, Daniel Taylor, England and Wayne Rooney see off Scotland in their own back yard (in The Guardian, 18 November 2014)[1]
  For a few moments England toyed with the idea of making it a more difficult night than necessary. Scotland had scored a goal that seemed incongruous to the rest of their performance and, briefly, a fiercely partisan crowd sensed an improbable comeback.
(mathematics) Of two numbers, with respect to a third, such that their difference can not be divided by it without a remainder.
20 and 25 are incongruous with respect to 4.

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