Homework№1(pic.3)

import geometry;



defaultpen(fontsize(10pt));
dotfactor = 4;
size(9cm, 0);
point A,B,C,D,M,dN,K,L;

A=(0,0); B= 4*dir(65); C= 5.5*dir(30); D=6*dir(0);

M=(A+B)/2; dN=(B+C)/2; K=(C+D)/2; L=(A+D)/2;
fill(M--dN--K--L--cycle, gray+0.25white);
draw(A--B--C--D--cycle);
draw(M--dN--K--L--cycle);

dot(A); label("$A$", A, S);
dot(B); label("$B$", B, N);
dot(C); label("$C$", C, N);
dot(D); label("$D$", D, S);
dot(M); label("$M$", M, W);
dot(dN); label("$N$", dN, N);
dot(K); label("$K$", K, E);
dot(L); label("$L$", L, S);

draw(A--M^^M--B, white+opacity(0), StickIntervalMarker(1, 1, size=0.15cm));
draw(B--dN^^dN--C, white+opacity(0), StickIntervalMarker(1, 2, size=0.15cm));

draw(A--C);