Which one of the following statements is false? All equilateral triangles are
$\textbf{(A)}\ \text{ equiangular}\qquad \textbf{(B)}\ \text{isosceles}\qquad \textbf{(C)}\ \text{regular polygons }\qquad\\ \textbf{(D)}\ \text{congruent to each other}\qquad \textbf{(E)}\ \text{similar to each other}$
Solution by e_power_pi_times_i
Equilateral triangles can be in different sizes, therefore they are not $\boxed{\textbf{(D)}\ \text{congruent to each other}}$