On considère la figure modèle suivante :
{"path": [[[[-1.9221395661535012, -4.615775069067732], [0.0, 0.0], [-2.7694650414406397, 1.1532837396921007], [-4.691604607594141, -3.4624913293756316], [-1.9221395661535012, -4.615775069067732]]], [[[0.0, 0.0], [-0.19221395661535012, -0.46157750690677324], [-0.6537914635221234, -0.2693635502914231], [-0.4615775069067732, 0.1922139566153501], [0.0, 0.0]]]], "init": {"range": [[-5.691604607594141, 1.0], [-5.615775069067732, 2.1532837396921005]], "scale": [45, 45]}, "line": [[[-1.0149424931350353, -2.1771292418294412], [-0.907197073018466, -2.438645827238291]], [[-1.0533852844581053, -2.269444743210796], [-0.945639864341536, -2.5309613286196457]], [[-0.9764997018119652, -2.0848137404480864], [-0.8687542816953959, -2.346330325856936]], [[-1.9221395661535012, -4.615775069067732], [0.0, 0.0], {"subtype": "segment"}], [[-1.5154908134247445, 0.5227691597877657], [-1.2539742280158952, 0.630514579904335]], [[-1.4231753120433899, 0.48432636846469573], [-1.1616587266345406, 0.592071788581265]], [[0.0, 0.0], [-2.7694650414406397, 1.1532837396921007], {"subtype": "segment"}], [[-3.6766621144591056, -1.2853620875461902], [-3.784407534575675, -1.023845502137341]], [[-3.6382193231360356, -1.1930465861648356], [-3.745964743252605, -0.9315300007559864]], [[-3.7151049057821757, -1.3776775889275448], [-3.822850325898745, -1.1161610035186955]], [[-2.7694650414406397, 1.1532837396921007], [-4.691604607594141, -3.4624913293756316], {"subtype": "segment"}], [[-3.1761137941693964, -3.9852604891633976], [-3.437630379578246, -4.093005909279967]], [[-3.2684292955507512, -3.9468176978403275], [-3.529945880959601, -4.054563117956897]], [[-4.691604607594141, -3.4624913293756316], [-1.9221395661535012, -4.615775069067732], {"subtype": "segment"}], [[-1.9221395661535012, -4.615775069067732], [-2.7694650414406397, 1.1532837396921007], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}], [[0.0, 0.0], [-4.691604607594141, -3.4624913293756316], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}]]}
Parmi les figures A, B, C, D ci-dessous, lesquelles sont des agrandissements ou des réductions de la figure modèle.
- A.
{"path": [[[[-2.8832093492302517, -6.923662603601598], [0.0, 0.0], [-4.1541975621609595, 1.7299256095381512], [-7.037406911391212, -5.193736994063448], [-2.8832093492302517, -6.923662603601598]]], [[[0.0, 0.0], [-0.19221395661535015, -0.4615775069067733], [-0.6537914635221235, -0.26936355029142317], [-0.4615775069067733, 0.19221395661535012], [0.0, 0.0]]]], "init": {"range": [[-8.037406911391212, 1.0], [-7.923662603601598, 2.729925609538151]], "scale": [45, 45]}, "line": [[[-1.5224137397025528, -3.265693862744162], [-1.360795609527699, -3.657968740857436]], [[-1.5800779266871579, -3.404167114816194], [-1.418459796512304, -3.796441992929468]], [[-2.8832093492302517, -6.923662603601598], [0.0, 0.0], {"subtype": "segment"}], [[-2.273236220137117, 0.7841537396816487], [-1.8809613420238427, 0.9457718698565025]], [[-1.9962897159930528, 0.6688253657124386], [-2.1579078461679067, 1.0611002438257127]], [[0.0, 0.0], [-4.1541975621609595, 1.7299256095381512], {"subtype": "segment"}], [[-5.514993171688658, -1.9280431313192854], [-5.676611301863513, -1.5357682532060113]], [[-5.457328984704054, -1.7895698792472534], [-5.6189471148789085, -1.3972950011339793]], [[-4.1541975621609595, 1.7299256095381512], [-7.037406911391212, -5.193736994063448], {"subtype": "segment"}], [[-4.764170691254096, -5.977890733745095], [-5.156445569367369, -6.13950886391995]], [[-5.04111719539816, -5.862562359775886], [-4.879499065223305, -6.254837237889159]], [[-7.037406911391212, -5.193736994063448], [-2.8832093492302517, -6.923662603601598], {"subtype": "segment"}], [[-2.8832093492302517, -6.923662603601598], [-4.1541975621609595, 1.7299256095381512], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}], [[0.0, 0.0], [-7.037406911391212, -5.193736994063448], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}]]}
- B.
{"path": [[[[-3.075423305845602, -7.385240110508372], [0.0, 0.0], [-4.431144066305023, 1.8452539835073614], [-7.506567372150626, -5.539986127001011], [-3.075423305845602, -7.385240110508372]]], [[[0.0, 0.0], [-0.19221395661535012, -0.46157750690677324], [-0.6537914635221234, -0.2693635502914231], [-0.4615775069067732, 0.19221395661535012], [0.0, 0.0]]]], "init": {"range": [[-8.506567372150627, 1.0], [-8.385240110508372, 2.8452539835073614]], "scale": [45, 45]}, "line": [[[-1.6239079890160564, -3.4834067869271066], [-1.4515153168295456, -3.9018333235812652]], [[-3.075423305845602, -7.385240110508372], [0.0, 0.0], {"subtype": "segment"}], [[-2.424785301479591, 0.8364306556604253], [-2.0063587648254324, 1.008823327846936]], [[-2.277080499269424, 0.7749221895435132], [-1.858653962615265, 0.947314861730024]], [[-2.5724901036897583, 0.8979391217773374], [-2.1540635670355996, 1.0703317939638481]], [[0.0, 0.0], [-4.431144066305023, 1.8452539835073614], {"subtype": "segment"}], [[-5.88265938313457, -2.0565793400739043], [-6.055052055321081, -1.6381528034197455]], [[-4.431144066305023, 1.8452539835073614], [-7.506567372150626, -5.539986127001011], {"subtype": "segment"}], [[-5.081782070671034, -6.376416782661436], [-5.5002086073251935, -6.548809454847947]], [[-5.229486872881202, -6.314908316544524], [-5.647913409535361, -6.487300988731035]], [[-4.934077268460866, -6.437925248778348], [-5.352503805115026, -6.610317920964859]], [[-7.506567372150626, -5.539986127001011], [-3.075423305845602, -7.385240110508372], {"subtype": "segment"}], [[-3.075423305845602, -7.385240110508372], [-4.431144066305023, 1.8452539835073614], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}], [[0.0, 0.0], [-7.506567372150626, -5.539986127001011], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}]]}
- C.
{"path": [[[[-1.345497696307451, -3.231042548347413], [0.0, 0.0], [-1.938625529008448, 0.8072986177844705], [-3.284123225315899, -2.4237439305629422], [-1.345497696307451, -3.231042548347413]]], [[[0.0, 0.0], [-0.19221395661535015, -0.46157750690677324], [-0.6537914635221234, -0.26936355029142317], [-0.46157750690677324, 0.19221395661535007], [0.0, 0.0]]]], "init": {"range": [[-4.2841232253158985, 1.0], [-4.231042548347412, 1.8072986177844705]], "scale": [45, 45]}, "line": [[[-0.7104597451945247, -1.523990469280609], [-0.6350379511129263, -1.7070520790668038]], [[-0.7373696991206737, -1.5886113202475576], [-0.6619479050390753, -1.771672930033752]], [[-0.6835497912683757, -1.4593696183136609], [-0.6081279971867772, -1.6424312280998552]], [[-1.345497696307451, -3.231042548347413], [0.0, 0.0], {"subtype": "segment"}], [[-1.0608435693973213, 0.36593841185143605], [-0.8777819596111267, 0.4413602059330345]], [[0.0, 0.0], [-1.938625529008448, 0.8072986177844705], {"subtype": "segment"}], [[-2.5736634801213745, -0.8997534612823331], [-2.6490852742029727, -0.7166918514961386]], [[-2.5467535261952254, -0.8351326103153849], [-2.6221753202768237, -0.6520710005291903]], [[-2.6005734340475235, -0.9643743122492814], [-2.6759952281291217, -0.7813127024630868]], [[-1.938625529008448, 0.8072986177844705], [-3.284123225315899, -2.4237439305629422], {"subtype": "segment"}], [[-2.223279655918578, -2.789682342414378], [-2.4063412657047722, -2.8651041364959764]], [[-3.284123225315899, -2.4237439305629422], [-1.345497696307451, -3.231042548347413], {"subtype": "segment"}], [[-1.345497696307451, -3.231042548347413], [-1.938625529008448, 0.8072986177844705], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}], [[0.0, 0.0], [-3.284123225315899, -2.4237439305629422], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}]]}
- D.
{"path": [[[[-2.202943189544311, -2.036428565808371], [0.0, 0.0], [-2.8674436954500635, 0.8818455950015754], [-5.070386884994374, -1.1545829708067954], [-2.202943189544311, -2.036428565808371]]], [[[-2.535193442497187, -0.5772914854033979], [-2.4798184003383743, -0.8204809988042268], [-2.2366292961018455, -0.7651041597570489], [-2.292004338260658, -0.5219146463562201], [-2.535193442497187, -0.5772914854033979]]]], "init": {"range": [[-6.070386884994374, 1.0], [-3.036428565808371, 1.8818455950015753]], "scale": [45, 45]}, "line": [[[-1.0959211073142907, -0.8769018910590962], [-1.10702208223002, -1.159526674749275]], [[-1.2427839866172448, -1.012663795446321], [-0.960159202927066, -1.0237647703620503]], [[-2.202943189544311, -2.036428565808371], [0.0, 0.0], {"subtype": "segment"}], [[-1.5586989558741613, 0.3747357712895976], [-1.3087447395759022, 0.5071098237119778]], [[-1.3675348215138416, 0.3159456893516581], [-1.4999088739362219, 0.5658999056499173]], [[0.0, 0.0], [-2.8674436954500635, 0.8818455950015754], {"subtype": "segment"}], [[-3.9744657776800834, -0.2776810797476994], [-3.963364802764354, 0.004943703942479422]], [[-3.8276028983771293, -0.14191917536047463], [-4.1102276820673085, -0.13081820044474532]], [[-2.8674436954500635, 0.8818455950015754], [-5.070386884994374, -1.1545829708067954], {"subtype": "segment"}], [[-3.5116879291202125, -1.5293187420963932], [-3.7616421454184716, -1.6616927945187734]], [[-3.702852063480532, -1.4705286601584537], [-3.570478011058152, -1.7204828764567128]], [[-5.070386884994374, -1.1545829708067954], [-2.202943189544311, -2.036428565808371], {"subtype": "segment"}], [[-2.202943189544311, -2.036428565808371], [-2.8674436954500635, 0.8818455950015754], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}], [[0.0, 0.0], [-5.070386884994374, -1.1545829708067954], {"opacity": 0.5, "subtype": "segment", "stroke-dasharray": "- "}]]}