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- import geometry;
- size(9cm, 0);
- defaultpen(fontsize(10pt));
- dotfactor = 4;
- point A,B,C,D,M, O;
- A=(0,0); B= 2*dir(70); D=3*dir(0); C=B+D; M=(B+C)/2;
- O=intersectionpoint(line(A,M),line(B,D));
- fill(A--O--D--cycle, gray+0.25white);
- fill(B--O--M--cycle, gray+0.25white);
- markangle(radius=0.45cm, n=1, M, O, B);
- markangle(radius=0.45cm, n=1, A, O, D);
- markangle(radius=0.45cm, n=2, D, A, M);
- markangle(radius=0.45cm, n=2, B, M, A);
- draw(A--M^^B--D);
- draw(B--M^^M--C, white+opacity(0), StickIntervalMarker(1, 1, size=0.15cm));
- draw(A--B--C--D--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, N);
- dot(O); label("$O$", O, W);
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