Final answer:
In circle geometry, when chords are perpendicular, the corresponding arcs are congruent.
Explanation:
True. Two arcs of a circle are congruent if and only if their associated chords are perpendicular. This fact is supported by the congruence of triangles and angles related to the intersecting chords within a circle.
For example, in the triangles OAC and O'A'C', the angles at the center of the circle and the sides related to the chords are congruent, affirming the statement.
Therefore, in circle geometry, when chords are perpendicular, the corresponding arcs are congruent.
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