@options; aimante(); @figure; A = point( 0 , 0 ) { noir , fixe }; B = point( 10 , 0 ) { noir , fixe }; sAB = segment( A , B ) { i }; M = pointsur( sAB , 0.3 ) { rouge , gras }; daAsAB = droiteangle( A , sAB , 60 ) { i }; daMsAB = droiteangle( M , sAB , 60 ) { indirect , i }; N = intersection( daMsAB , daAsAB ) { noir , (-0.3,-0.87) }; perpBsAB = perpendiculaire( B , sAB ) { i }; perpMsAB = perpendiculaire( M , sAB ) { i }; r_M = rotation( M , 90 ) { noir }; D = image( r_M , B ) { noir , (-0.27,-0.8) }; perpDperpMsAB = perpendiculaire( D , perpMsAB ) { i }; C = intersection( perpBsAB , perpDperpMsAB ) { noir , (-0.27,-0.83) }; polyNMAN = polygone( N , M , A ) { 3 }; polyMBCD = polygone( M , B , C , D ) { vert , 3 }; p_disAB = milieu( A , B ) { i }; t_disAB = texte( p_disAB ,"AB=#AB=#cm") { noir , (-1.6,1.4) , dec2 , car+3 , gras }; sAN = segment( A , N ) { / }; sNM = segment( N , M ) { / }; sAM = segment( A , M ) { / }; sMD = segment( M , D ) { vert , // }; sDC = segment( D , C ) { vert , // }; sCB = segment( C , B ) { vert , // }; sMB = segment( M , B ) { vert , // }; angleMDC = angle( M , D , C ) { vert }; angleMBC = angle( M , B , C ) { vert }; angleDMB = angle( D , M , B ) { vert }; angleDCB = angle( D , C , B ) { vert }; E = point( 0 , -1.1 ) { fixe , sansnom , i }; F = point( 10 , -1.1 ) { fixe , sansnom , i }; sEF = segment( E , F ) { noir , 3 }; G = point( 1 , -0.8 ) { fixe , sansnom , i }; H = point( 1 , -1.4 ) { fixe , sansnom , i }; J = point( 9 , -0.8 ) { fixe , sansnom , i }; I = point( 9 , -1.4 ) { fixe , sansnom , i }; sGE = segment( G , E ) { noir , 3 }; sHE = segment( H , E ) { noir , 3 }; sJF = segment( J , F ) { noir , 3 }; sIF = segment( I , F ) { noir , 3 };