Demonstration of triangle with SAS defined.
Side and angle measures are determined by sliders. The blue letters can be manipulated to determine rigidity.

A triangle has been defined with the radii of two circles, centered at A, and an angle, <CAD. The angle and the lengths of the sides can be manipulated by moving the three sliders.
a. How many triangles can be made with the two sides set to length 1 and 4, respectively, and the angle set to 126?
b. If you made more than one triangle with these settings, how are the triangles the same, and how are they different? Describe things like their shape, size, orientation, and so forth.
c. Move the triangle by dragging points B and A. How does the triangle change?