Ambiguity of SSA

Experience the ambiguity of two sides and one non-included angle
(SSA) as conditions to fix a triangle.

http://www.geogebratube.org/material/show/id/539

Drag the red points so that PR = AC, PQ = AB and ∡PQR = ∡ABC. (SSA)

Drag R on the dotted line to form the red ΔPQR.
Is it possible to make ΔPQR not congruent to ΔABC ?