Let m and n be two parallel straight lines. Let AB be a line segment that first intersects m and then n, that is perpendicular to both m and n, and whose length is twice the distance between m and n. Then, ; the compositions of the two reflections is a translation.
Once again, I'm clueless as to proving this.
Feb 13th 2010, 10:43 AM
Well, thet composition of two indirect isometries is a direct isometry...
A direct isometry can only be a rotation or translation....show the composition cannot be a rotation