No.
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The triangles are also congruent.
No. For example the triangles with sides {3, 4, 5} and {6, 8, 10} are similar but not congruent.
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!
When all of their corresponding angles are congruent (in any triangle, in fact) then the triangles are similar. Similarity postulate AAA. (angle-angle-angle)
All the corresponding sides in congruent triangles are equal All the corresponding angles in congruent triangles are equal