Let T be an equilateral triangle in the Euclidean plane and f
in GT as defined in Problem 3 , i.e. f is an isometry and f(T) = T. Prove
the following:
a) f takes a vertex of T to a vertex (of T).
b) f takes a side of T to a side (of T)
c) Decribe all elements of GT .
in GT as defined in Problem 3 , i.e. f is an isometry and f(T) = T. Prove
the following:
a) f takes a vertex of T to a vertex (of T).
b) f takes a side of T to a side (of T)
c) Decribe all elements of GT .