On considère la figure modèle suivante :
{"init": {"range": [[-1.0, 8.881446475924612], [-1.0, 2.4369020899183784]], "scale": [45, 45]}, "path": [[[[0.0, 0.0], [4.800000000000001, 0.0], [7.881446475924611, 1.4369020899183782], [3.08144647592461, 1.4369020899183782], [0.0, 0.0]]]], "label": [[[2.4000000000000004, 0.0], "4,8 cm", "below", {}], [[1.540723237962305, 0.7184510449591891], "3,4 cm", "left", {}], [[0.553234404034629, 0.12264911456492499], "25\u00b0", "right", {"color": "blue"}], [[7.328212071889983, 1.3142529753534533], "25\u00b0", "left", {"color": "blue"}], [[4.677350885435075, 0.553234404034629], "155\u00b0", "above", {"color": "red"}], [[3.204095590489535, 0.8836676858837492], "155\u00b0", "below", {"color": "red"}]], "arc": [[[0.0, 0.0], [0.5666666666666668, 0.5666666666666668], 0.0, 25.0, false, {"stroke": "blue"}], [[7.881446475924611, 1.4369020899183782], [0.5666666666666668, 0.5666666666666668], 180.0, 205.0, false, {"stroke": "blue"}], [[4.800000000000001, 0.0], [0.5666666666666668, 0.5666666666666668], 25.0, 180.0, false, {"stroke": "red"}], [[3.08144647592461, 1.4369020899183782], [0.5666666666666668, 0.5666666666666668], 205.0, 0.0, false, {"stroke": "red"}]]}
Parmi les figures A, B, C, D ci-dessous, lesquelles sont des agrandissements ou des réductions de la figure modèle.
- A.
{"init": {"range": [[-1.0, 7.305157180739689], [-1.0, 2.1495216719347026]], "scale": [45, 45]}, "path": [[[[0.0, 0.0], [3.8400000000000007, 0.0], [6.305157180739689, 1.1495216719347028], [2.4651571807396886, 1.1495216719347028], [0.0, 0.0]]]], "label": [[[1.9200000000000004, 0.0], "3,84 cm", "below", {}], [[1.2325785903698443, 0.5747608359673514], "2,72 cm", "left", {}], [[0.44258752322770323, 0.09811929165194], "25\u00b0", "right", {"color": "blue"}], [[5.862569657511986, 1.0514023802827628], "25\u00b0", "left", {"color": "blue"}], [[3.7418807083480616, 0.4425875232277034], "155\u00b0", "above", {"color": "red"}], [[2.5632764723916295, 0.7069341487069998], "155\u00b0", "below", {"color": "red"}]], "arc": [[[0.0, 0.0], [0.4533333333333334, 0.4533333333333334], 0.0, 25.0, false, {"stroke": "blue"}], [[6.305157180739689, 1.1495216719347028], [0.4533333333333334, 0.4533333333333334], 180.0, 205.0, false, {"stroke": "blue"}], [[3.8400000000000007, 0.0], [0.4533333333333334, 0.4533333333333334], 25.0, 180.0, false, {"stroke": "red"}], [[2.4651571807396886, 1.1495216719347028], [0.4533333333333334, 0.4533333333333334], 205.0, 0.0, false, {"stroke": "red"}]]}
- B.
{"init": {"range": [[-1.5333931456156682, 9.640000000000002], [-1.0, 7.096711552321484]], "scale": [45, 45]}, "path": [[[[0.0, 0.0], [8.640000000000002, 0.0], [8.106606854384335, 6.096711552321484], [-0.5333931456156681, 6.096711552321484], [0.0, 0.0]]]], "label": [[[4.320000000000001, 0.0], "8,64 cm", "below", {}], [[-0.26669657280783404, 3.048355776160742], "6,12 cm", "left", {}], [[0.6891020117679736, 0.7520228835463267], "95\u00b0", "above right", {"color": "blue"}], [[7.417504842616363, 5.344688668775157], "95\u00b0", "below left", {"color": "blue"}], [[7.887977116453676, 0.6891020117679738], "85\u00b0", "above left", {"color": "red"}], [[0.2186297379306582, 5.407609540553509], "85\u00b0", "below right", {"color": "red"}]], "arc": [[[0.0, 0.0], [1.0200000000000002, 1.0200000000000002], 0.0, 95.0, false, {"stroke": "blue"}], [[8.106606854384335, 6.096711552321484], [1.0200000000000002, 1.0200000000000002], 180.0, 275.0, false, {"stroke": "blue"}], [[8.640000000000002, 0.0], [1.0200000000000002, 1.0200000000000002], 95.0, 180.0, false, {"stroke": "red"}], [[-0.5333931456156681, 6.096711552321484], [1.0200000000000002, 1.0200000000000002], 275.0, 0.0, false, {"stroke": "red"}]]}
- C.
{"init": {"range": [[-1.0, 12.822169713886916], [-1.0, 3.155353134877567]], "scale": [45, 45]}, "path": [[[[0.0, 0.0], [7.200000000000001, 0.0], [11.822169713886916, 2.155353134877567], [4.622169713886915, 2.155353134877567], [0.0, 0.0]]]], "label": [[[3.6000000000000005, 0.0], "7,2 cm", "below", {}], [[2.3110848569434577, 1.0776765674387836], "5,1 cm", "left", {}], [[0.8298516060519434, 0.1839736718473875], "25\u00b0", "right", {"color": "blue"}], [[10.992318107834974, 1.9713794630301793], "25\u00b0", "left", {"color": "blue"}], [[7.016026328152614, 0.8298516060519433], "155\u00b0", "above", {"color": "red"}], [[4.806143385734299, 1.3255015288256229], "155\u00b0", "below", {"color": "red"}]], "arc": [[[0.0, 0.0], [0.8500000000000001, 0.8500000000000001], 0.0, 25.0, false, {"stroke": "blue"}], [[11.822169713886916, 2.155353134877567], [0.8500000000000001, 0.8500000000000001], 180.0, 205.0, false, {"stroke": "blue"}], [[7.200000000000001, 0.0], [0.8500000000000001, 0.8500000000000001], 25.0, 180.0, false, {"stroke": "red"}], [[4.622169713886915, 2.155353134877567], [0.8500000000000001, 0.8500000000000001], 205.0, 0.0, false, {"stroke": "red"}]]}
- D.
{"init": {"range": [[-1.0, 6.76333044482741], [-1.0, 2.9233304448274096]], "scale": [45, 45]}, "path": [[[[0.0, 0.0], [3.8400000000000007, 0.0], [5.76333044482741, 1.9233304448274098], [1.9233304448274098, 1.9233304448274098], [0.0, 0.0]]]], "label": [[[1.9200000000000004, 0.0], "3,84 cm", "below", {}], [[0.9616652224137049, 0.9616652224137049], "2,72 cm", "left", {}], [[0.4188253880717834, 0.1734831560055074], "45\u00b0", "above right", {"color": "blue"}], [[5.344505056755627, 1.7498472888219025], "45\u00b0", "left", {"color": "blue"}], [[3.666516843994494, 0.41882538807178366], "135\u00b0", "above", {"color": "red"}], [[2.0968136008329172, 1.5045050567556264], "135\u00b0", "below right", {"color": "red"}]], "arc": [[[0.0, 0.0], [0.4533333333333334, 0.4533333333333334], 0.0, 45.0, false, {"stroke": "blue"}], [[5.76333044482741, 1.9233304448274098], [0.4533333333333334, 0.4533333333333334], 180.0, 225.0, false, {"stroke": "blue"}], [[3.8400000000000007, 0.0], [0.4533333333333334, 0.4533333333333334], 45.0, 180.0, false, {"stroke": "red"}], [[1.9233304448274098, 1.9233304448274098], [0.4533333333333334, 0.4533333333333334], 225.0, 0.0, false, {"stroke": "red"}]]}