Quiz — Lycée Pilote Ariana - Isométrie.pdf

Question 1 sur 10 20:00

[{"id":4216,"question":"Quelle transformation géométrique conserve les distances et les angles ?","option_a":"Homothétie","option_b":"Isométrie","option_c":"Projection","option_d":"Symétrie centrale","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une isométrie est une transformation qui préserve les distances entre les points, contrairement aux autres options proposées.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Homothétie\", \"b\": \"Isométrie\", \"c\": \"Projection\", \"d\": \"Symétr","_debug_options_count":4},{"id":4217,"question":"La symétrie axiale est une isométrie.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La symétrie axiale conserve les distances et les angles, donc c’est bien une isométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":4218,"question":"Quel est l’effet d’une translation sur une figure ?","option_a":"Elle la retourne","option_b":"Elle la déplace sans la faire tourner","option_c":"Elle la agrandit","option_d":"Elle la réduit","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une translation déplace une figure en conservant sa taille, sa forme et son orientation.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Elle la retourne\", \"b\": \"Elle la déplace sans la faire tourner\",","_debug_options_count":4},{"id":4219,"question":"Une rotation de 180° autour d’un point est équivalente à une symétrie centrale.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Effectivement, une rotation de 180° autour d’un point O transforme un point M en un point M' tel que O est le milieu de [MM'], ce qui correspond à une symétrie centrale de centre O.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":4220,"question":"Quelle est la nature de la transformation qui associe à tout point M le point M' tel que le vecteur MM' est constant ?","option_a":"Rotation","option_b":"Translation","option_c":"Symétrie axiale","option_d":"Homothétie","option_e":"","option_f":"","bonne_reponse":"b","explication":"Cette définition correspond à une translation, car tous les points de la figure sont déplacés dans la même direction et sur la même distance.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Rotation\", \"b\": \"Translation\", \"c\": \"Symétrie axiale\", \"d\": \"Hom","_debug_options_count":4},{"id":4221,"question":"Une isométrie peut transformer un triangle équilatéral en un triangle rectangle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une isométrie conserve les angles et les longueurs, donc un triangle équilatéral (3 angles de 60°) ne peut pas devenir un triangle rectangle (un angle de 90°).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":4222,"question":"Quel est l’angle de rotation minimal pour qu’une figure soit superposable à elle-même ?","option_a":"45°","option_b":"90°","option_c":"120°","option_d":"180°","option_e":"","option_f":"","bonne_reponse":"d","explication":"Une rotation de 180° permet souvent de superposer une figure à elle-même, notamment pour les figures symétriques comme les carrés ou les rectangles.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"d\", \"options\": {\"a\": \"45°\", \"b\": \"90°\", \"c\": \"120°\", \"d\": \"180°\"}}","_debug_options_count":4},{"id":4223,"question":"La symétrie centrale est une isométrie directe.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"La symétrie centrale est une isométrie directe car elle conserve l’orientation de la figure (contrairement à la symétrie axiale qui est indirecte).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":4224,"question":"Quelle transformation géométrique ne conserve pas les distances ?","option_a":"Translation","option_b":"Rotation","option_c":"Homothétie de rapport 2","option_d":"Symétrie axiale","option_e":"","option_f":"","bonne_reponse":"c","explication":"Une homothétie de rapport différent de 1 ou -1 modifie les distances entre les points, donc ce n’est pas une isométrie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"Translation\", \"b\": \"Rotation\", \"c\": \"Homothétie de rapport 2\", \"","_debug_options_count":4},{"id":4225,"question":"Deux figures isométriques ont toujours la même aire.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Les isométries conservent les distances et les angles, donc elles conservent également les aires des figures.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4}]