Yes, in a dilation, corresponding angles are congruent. This is because dilation is a transformation that changes the size of a figure but preserves its shape. When a figure is dilated from a center point by a scale factor, the distance between points changes, but the angles between the lines that create the shape remain the same.
To elaborate, a dilation can be thought of as expanding or contracting a figure while keeping the relative positions of points the same with respect to each other. Since the angles are defined by the relationships between the sides of the figure, and dilation does not alter these relationships (it merely scales them up or down), the measures of the corresponding angles in the original figure and the dilated figure will be equal.
Thus, corresponding angles in similar figures that arise from a dilation are congruent.
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