The top vertex of this equilateral triangle is folded over the shown dashed line. Which of the 5 points
will the vertex lie closest to after this fold?
[asy]
size(110);
draw((0,0)--(1,0)--(0.5,sqrt(3)/2)--cycle);
dot((0.5,sqrt(3)/2));
pair A_1=(0,0);label("A1",A_1,S);dot(A_1);
pair A_2=(0.25,0);label("A2",A_2,S);dot(A_2);
pair A_3=(0.5,0);label("A3",A_3,S);dot(A_3);
pair A_4=(0.75,0);label("A4",A_4,S);dot(A_4);
pair A_5=(1,0);label("A5",A_5,S);dot(A_5);
draw((0.23,0.38)--(0.86,0.22),dashed);
[/asy]
<spanclass=′latex−bold′>(A)</span>A1<spanclass=′latex−bold′>(B)</span>A2<spanclass=′latex−bold′>(C)</span>A3<spanclass=′latex−bold′>(D)</span>A4<spanclass=′latex−bold′>(E)</span>A5