convincing

[kuhn-vin-sing]
adjective
1.
persuading or assuring by argument or evidence: They gave a convincing demonstration of the car's safety features.
2.
appearing worthy of belief; plausible: The excuse was not convincing.

Origin:
1605–15; convince + -ing2

convincingly, adverb
convincingness, noun
half-convincing, adjective
half-convincingly, adverb
unconvincing, adjective
unconvincingly, adverb
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Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
convincing (kənˈvɪnsɪŋ)
 
adj
1.  credible or plausible
2.  chiefly law persuading by evidence or argument
 
convincingly
 
adv
 
convincingness
 
n

Collins English Dictionary - Complete & Unabridged 10th Edition
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Etymonline
Word Origin & History

convince
1530, "to overcome in argument," from L. convincere "to overcome decisively," from com- intensive prefix + vincere "to conquer" (see victor). Meaning "to firmly persuade" is from c.1600. Related: Convinced (pp. adj., 1680s); convincing (1610s); convincingly (1640s).
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
It is highly desirable that a leader of opinion in a democracy should be able
  to state his views clearly and convincingly.
But exactly how they propel their tongues with such power has never been
  convincingly explained.
They directed us, convincingly, not to step off the path.
Do the research to be able to talk convincingly about future grant support, and
  about exactly what your research requires.
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