Circle.
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A cycle is a closed path such that the end vertex of the final edge is the start vertex of the first edge.
Straight means starting from one point and goes in same path and join at end point
The same note name, yes. They could possibly be different pitches.
A straight line with arrow in the end
A circle as such does not have a start point nor an end point. We do however have to start at one point and end at the same point when we draw a perfect circle, but after it is drawn, the actual circle does not have a start nor an end. We might be able to see where we started and ended but this is of no significance to the actual start/end point of the circle as the circle itself does not have any.