Final answer:
The stage in juvenile court proceedings involving the presentation of evidence and a judge's finding is known as the adjudicatory hearing.
Step-by-step explanation:
The stage of juvenile court proceedings that usually includes the youth's plea, the presentation of evidence, the cross-examination of witnesses, and a finding by the judge as to whether the allegations can be sustained is known as the adjudicatory hearing. This phase is critical in the juvenile justice process, functioning similarly to a trial in adult court. During the adjudicatory hearing, neither a jury is present nor is a full jury trial conducted; instead, the judge makes the decision on the outcome.