Answer: Each of the 2 geometric figures only has one measurement, and that is what must remain the same when the figure is copied
Explanation:
I have never seen this question before, but here is how I would answer it.
They are similar in that each of the 2 geometric figures only has one measurement, and that is what must remain the same when the figure is copied.
Specifically -
A line segment has only one measurement - its length - and that must be duplicated in the copy.
An angle has only one measurement - the span of the angle - and that must be duplicated in the copy. It doesn't matter which unit of measure (degrees or radians), nor does it matter whether you measure the angle the 'short way around' or the 'long way around', the answer remains the same - the one measurement must be duplicated to make a copy.
I hope this is the answer they are looking for.