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the sum of the lengths of all its sides
A triangle cannot have two parallel sides. In order for a figure to be a triangle, it must be a closed figure with three sides and three angles. If two of the sides were parallel, there is no way the figure could be closed by only one other line.
A sphere
If only two sides of one figure are congruent to two sides of another figure, you can say nothing about the opposite angles.
If it has only 4 sides in total, then it's a parallelogram.I think any figure with more than 4 sides can have two sets of parallel sides.