Yes, they are.
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Yes, if they are similar, then the angles themselves have to be congruent. If not, it's not a similar figure.
Angles are congruent if they are equal. Corresponding angles in figures that are similar are congruent.
In short, no. Similar shapes are shapes in which all corresponding angles congruent regardless of the length of the sides. Congruent shapes have congruent corresponding angles and corresponding sides. In effect congruent shapes is a special condition of similar shapes.
False. The statement should be: If the corresponding side lengths of two triangles are congruent, and the triangles are similar, then the corresponding angles are also congruent.
Proportional.
Similar.