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documentclass[border=5pt,varwidth]{standalone}

usepackage{asymptote}



begin{document}



begin{asy}

import geometry;

import math;

size(6cm,0);

point A=(0,0), B=(4,1), C=(3.5,2), D=(1,2.5);

draw(A--C,dashed+orange);

draw(B--D,dashed+blue);

pair G=intersectionpoint(A--C,B--D);

dot("$A$",A,SW); dot("$B$",B,SE); dot("$C$",C,2E);

dot("$D$",D,W);dot("$G$",G,1.5S);

end{asy}



end{document}

documentclass[border=5pt,varwidth]{standalone}

usepackage{asymptote}



begin{document}



begin{asy}

import geometry;

import math;

size(6cm,0);

point A=(0,0), B=(4,1), C=(3.5,2), D=(1,2.5);

draw(A--C,dashed+orange);

draw(B--D,dashed+blue);

pair G=intersectionpoint(A--C,B--D);

dot("$A$",A,SW); dot("$B$",B,SE); dot("$C$",C,2E);

dot("$D$",D,W);dot("$G$",G,1.5S);

end{asy}



end{document}

documentclass[border=5pt,varwidth]{standalone}

usepackage{asymptote}



begin{document}



begin{asy}

import geometry;

import math;

size(6cm,0);

point A=(0,0), B=(4,1), C=(3.5,2), D=(1,2.5);

draw(A--C,dashed+orange);

draw(B--D,dashed+blue);

pair G=intersectionpoint(A--C,B--D);

dot("$A$",A,SW); dot("$B$",B,SE); dot("$C$",C,2E);

dot("$D$",D,W);dot("$G$",G,1.5S);

end{asy}



end{document}

documentclass[border=5pt,varwidth]{standalone}

usepackage{asymptote}



begin{document}



begin{asy}

import geometry;

import math;

size(6cm,0);

point A=(0,0), B=(4,1), C=(3.5,2), D=(1,2.5);

draw(A--C,dashed+orange);

draw(B--D,dashed+blue);

pair G=intersectionpoint(A--C,B--D);

dot("$A$",A,SW); dot("$B$",B,SE); dot("$C$",C,2E);

dot("$D$",D,W);dot("$G$",G,1.5S);

end{asy}



end{document}

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