Several figures can be made by attaching two equilateral triangles to the regular pentagon ABCDE in two of the five positions shown. How many non-congruent figures can be constructed in this way?
[asy]unitsize(2cm);pair A=dir(306);
pair B=dir(234);
pair C=dir(162);
pair D=dir(90);
pair E=dir(18);draw(A--B--C--D--E--cycle,linewidth(.8pt));
draw(E--rotate(60,D)*E--D--rotate(60,C)*D--C--rotate(60,B)*C--B--rotate(60,A)*B--A--rotate(60,E)*A--cycle,linetype("4 4"));label("A",A,SE);
label("B",B,SW);
label("C",C,WNW);
label("D",D,N);
label("E",E,ENE);[/asy]<spanclass=′latex−bold′>(A)</span>1<spanclass=′latex−bold′>(B)</span>2<spanclass=′latex−bold′>(C)</span>3<spanclass=′latex−bold′>(D)</span>4<spanclass=′latex−bold′>(E)</span>5