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No. Consider two circles of diameter 10cm and 20cm respectively.

For the smaller circle consider the arc formed by half the circle. It has a length of pi*5 (where * means multiply)

For the larger circle, consider the arc formed by a quarter of the circle. It has a length of pi*5.

Both arc lengths are the same but they are not congruent. They have entirely different shapes.

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Q: Are two arcs have the same measure are congruent?
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