Any two triangles with the same interior angles
can be shown to be congruent by at most three reflections about certain
d-lines.
To find the reflecting lines for the two triangles shown choose any point M and construct from the menu commands the two mirror lines that map the points A and A' to M respectively, and then reflect the two triangles about their respective mirror lines. Move M in the disc until the two image triangles are congruent (in this case move M towards the point marked M') or until two sides coincide in which case one further reflection is required of one of the triangles about this side. The two mirror lines (and possibly one of the sides) then give the lines of reflection that show the two triangles are congruent. |
Congruent triangles
Circumscribed
Circle