What's the difference between 'convict' and 'convince'?

[Violino]

Common Errors in English, Advanced Level

ESL/EFL Test #13 "Infinitive vs. Gerund", question 7

I'm sorry but however persuasive you are, you just can't convict me that you are telling the truth.

(a) but
(b) persuasive
(c) convict
(d) truth

Common Errors in English, Advanced Level

ESL/EFL Test #13 "Infinitive vs. Gerund", answer 7

I'm sorry but however persuasive you are, you just can't convince me that you are telling the truth.

Correct entry: convince
The error was: (c) convict

Your answer was: ?
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'Convict' (according to my dictionary) could be (beside a noun) a verb and means the same as 'prove'.
So what's the diffirence between 'convince' and 'convict'?

violino

[Mister Micawber]

.
Convict has a more specific meaning and use other than merely 'prove':

1. Law To find or prove (someone) guilty of an offense or crime, especially by the verdict of a court: The jury convicted the defendant of manslaughter. 2. To show or declare to be blameworthy; condemn: His remarks convicted him of a lack of sensitivity. 3. To make aware of one's sinfulness or guilt. (Am Heritage Dict)

Also, convict can not be used in the form verb (+ d.o.) + that.

As such, it does not fit the test question at all.
.
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Native English teacher at Mister Micawber's