Why can't there be an axiom of congruency of triangles as A.S.S. similar to R.H.S.?
I think that, if we consider 2 triangles, whose one angle, the side opposite to that angle and any other side are equal, then the two triangles are congruent. If I am wrong, can someone please construct 2 non-congruent triangles with these conditions?
I think that, if we consider 2 triangles, whose one angle, the side opposite to that angle and any other side are equal, then the two triangles are congruent. If I am wrong, can someone please construct 2 non-congruent triangles with these conditions?
1 Answer
Jul 18, 2016
(details below)
Explanation:
If
By construction
In triangles
and
So we have an A.S.S. arrangement
but