Select three elements of the given triangle [math]ABC[/math] (any combination of sides and angles) by clicking on them.[br]Using these elements try to construct a triangle congruent to the given triangle [math]ABC[/math].[br]The segments can be moved by dragging the solid point; rotated by dragging the empty point; clicking the empty point will construct a circle.[br]The angles can be moved by dragging the thicker side; rotated by dragging the empty point or the vertex; the sides can be extended by dragging the endpoints.[br](Note: Position the new triangle in the same general direction as triangle ABC to avoid flipping the triangle when checking.)[br]Check the construction by creating a duplicate of triangle ABC and dragging it over the constructed triangle. Use the solid vertex to drag and the empty to rotate. [br][br]Will all possible combinations of three elements work?[br]Detailed instructions and videos are available at :[url]http://lima.osu.edu/people/iboyadzhiev/GeoGebra/congruentTrianglesTh.html[/url]