There are two triangles near my house, and no squares that I am aware of. One of the triangles has a park in it and is called "Washington Triangle Park," while the other has an apartment building called "Spring Hill Highrise." The Spring Hill one is actually a trapezoid because there is a road that cuts through the tip. So the point of the triangle is actually separate from the rest. I still count it as one triangle rather than a triangle and a trapezoid, however. The cut off point has one of those community gardens with prairie plants in it, which is a good thing to spruce up the neighborhood a bit.

Now that I think of it, there is one square called "Chute Square" with a historic old house that is sometimes open for tours on it. So there is one square and two triangles.