Are these really parallelograms?

Continuing with the idea in my post about Squares that aren't squares?, let's look at the following "parallelograms".

The question is the same:

Does the given information in each diagram guarantee that each is a parallelogram?

If you don't think so, your mission is to draw a quadrilateral with the given information but that clearly does NOT look like a parallelogram.

Figure 1:


Figure 2:


Figure 3:


Figure 4:


Again, these problems let students practice logical reasoning, and also learn about parallelograms, of course. See answers here.
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