Angle Angle Side (AAS) relationship in triangles

Tim Nieman
This interactive worksheet allows for students to explore the Angle Angle Side (AAS) relationship among triangles. When using this tool, any point on the triangle ABC can be moved. To translate the constructed AAS move point D. To rotate the constructed AAS grab point E.
Given that there are congruent angle, angle, side to triangle ACB, how many triangles can be created from D,E,F? is the relationship of triangle DEF and triangle ACB the same regardless of how you position A, C, B? Based on your work, is there a relationship between two triangles with congruent AAS, and if so, what is it?