Which set of shapes contains members that are always similar to one another?

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Which set of shapes contains members that are always similar to one another?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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trapezoids isosceles triangles equilateral triangles rectangles pentagons
Use the angles. If two polygons are similar, then all the pairs of corresponding angles are congruent.
Here are two trapezoids. They are drawn to scale. Are all pairs of corresponding angles congruent? |dw:1435246347755:dw|

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Other answers:

so it trapezoid
No. Just answer my question above for the trapezoids I drew.
When two polygons are similar, you can enlarge or reduce one of them to fit exactly on top of the the one. Do these two trapezoids look like with an enlargement or reduction on one of them, one would fit exactly on top of the other one?
no
so whats the answer
Equilateral triangles.
Right. That means my drawing shows an example of two trapezoids that are NOT similar. In other words, not all trapezoids are similar.
thank you
Now let's move on to isosceles triangles. |dw:1435246772609:dw| The two triangles are isosceles, but not similar.
All equilateral triangles are similar.
|dw:1435246848604:dw|

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