Step-by-step explanation:
The first attachment is one way that quadrilaterals can be classified. If you've never studied a diagram like this before, it would certainly be mysterious.
There is a little more to it in that a "kite" is not the only kind of quadrilateral with no parallel sides.
Your diagram apparently doesn't recognize the special sorts of trapezoids you might have other than isosceles.
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The classifications on the first diagram are numbered. The numbers on the second diagram are the way I'd match up the descriptions to the bubbles in your diagram.