A cone or a pyramid.
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A pyramid or cone.
No. You can have two triangles that are congruent to one another, and two quadrilaterals that are congruent to one another. But the triangle cannot be similar to the quadrilateral!
A sphere is.
All congruent shapes are similar, but not all similar shapes are congruent.
If A ~ B and B ~ C then A ~ C. The above statement is true is you substitute "is parallel to" for ~ or if you substitute "is congruent to" for ~.