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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They are arcs of congruent circles.
If they have the same measure.
The same measure.
no
Diameter