Again, I think ambiguity reigns with this one. If you suppose the figures are all fixed--you can't change them, say by removing the serifs--then the D and A are the only ones with closed parts or components. If you are allowed to say, deform them--remove the serifs and start bending them around, then the A and D stay closed, but you have to shrink the tails on A to make A and D equivalent (topologically). If you aren't allowed to shrink lines to a point the A and D are distinct, but the last four letters can shrink to a point and vanish if you are allowed, oops!. So I guess you could offer a fairly safe answer that it's the first two because they are the only figures with closed curves in them. On the other hand . . .
I pick " i and j" "I and J" Because if this set of figures was represented in lower case " a, d, e, i, j, z," you notice i and j are the only figures (plural) that have dots above them.
All figures (except for the kite) have the letter 'r' in their names. So maybe the odd one is the kite
Maybe not because the question is specifying whats the difference between figures, but not the names of the figures that chain of logic seems ambiguous. I don't see any clear logical path leading to "r" as a special group it's too random.
With your logic I could also pick the rhombus as the odd one out because it's the only "name" without an "e"
You see these question are like probability there are usually many good answers but most of the time the right answer is simple to comprehend why it's is right. If there exist confusion and doubt in the answer chosen then there is a good chance it's not correct. The correct answer usually carries a greater sense of certainty than the othe available options.
You missed when I said With your logic I could also pick the rhombus as the odd one out because it's the only "name" without an "e"
In the question that was asked, it is 100% certain that the kite is the only object that does not have the letter 'r' in its name
Make me an argument that figures that are in name group 'r' are more special than name group 'e' ? Certainty must be expressed in its appropriate context.
Well, if you look at the question, you can see that there is a series of figures with their name. The question didn't specify based on what feature should the odd figure be chosen. So that not having the 'r', not having the 'e', being a totally black figure (like the trapez), not having a symmetry axis (again like the trapez), all are equally valid answers
The word "figure" is to be understood as the commonly accepted definition in the English language as a shape or form in this context of figures. What shape or form does black belong in? Again why is group 'r' more special than group 'e'?
As for the trapazoid not having a symmetry axis is a good logical analysis and could be investigated further.
This is why I can invalidate both "e" and "r" as inaccurate if they are equivalent that chain of logic that binds them is not certain to reach of any singular definitive position.
Actually this may actually be the best answer becuase all of the other figures are evenly symmetric but the trapzoid is odd with no symmetry. That to me is the clearest distinction.