Please help me choose the correct one.
The novelist shows his two characters (enter/entering) a truce.
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The verb show in the context offered presupposes using the pattern show something. It means that the sentence needs the grammatical structure Noun+show+that+noun+enter+truce. Transformation of the grammar construction gives The novelist shows that his two characters enter a truce. We may construct other syntax, though the focus of the sentence will be changed from the context offered, The novelist shows his two characters entering a truce. The focus of the sentence is not the fact describing the action of the two characters, but a description itself of the action in which the two characters happened to be engaged in. With this mentioned above, the answer to the question in the OP is that, we should use participle entering in the case.