Not necessarily. It doesn't matter where their centers are. In order to be congruent,
they must have the same radius.
On the subject of having the same center . . . the hubcap and the tire are not congruent.
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No. Congruent means the same shape and the same size. Two perfect circles would be the same shape but they might not be the same size.
Are congruent circles.
Congruent circles
Congruent can mean corresponding to (or agreeing with); or in mathematics, it can mean identical in shape and size. For example, two circles are congruent if they have the same size, while two line segments are congruent if they have the same length. So it basically means that it has the same shape and size.
They are arcs of congruent circles.