Quiz — 63cc343c62255_serie_24_Similitudes_2023.pdf

Question 1 sur 10 20:00

[{"id":22739,"question":"Quelle transformation géométrique conserve les distances et les angles ?","option_a":"Homothétie","option_b":"Isométrie","option_c":"Projection","option_d":"Symétrie axiale","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une isométrie est une transformation qui conserve les distances et les angles, contrairement aux autres transformations 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":22740,"question":"Une homothétie de rapport 2 multiplie les distances par 2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une homothétie de rapport k multiplie les distances par |k|, donc ici par 2.","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":22741,"question":"Quelle propriété n'est PAS conservée par une similitude ?","option_a":"Les angles","option_b":"Les distances","option_c":"L'orientation","option_d":"Les aires","option_e":"","option_f":"","bonne_reponse":"d","explication":"Une similitude conserve les angles et l'orientation, mais multiplie les aires par le carré du rapport de similitude.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"d\", \"options\": {\"a\": \"Les angles\", \"b\": \"Les distances\", \"c\": \"L'orientation\", \"d\": \"Le","_debug_options_count":4},{"id":22742,"question":"Une translation est une isométrie directe.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une translation est une isométrie directe car elle conserve l'orientation du plan.","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":22743,"question":"Quel est le rapport d'une homothétie qui transforme un segment de longueur 5 en un segment de longueur 15 ?","option_a":"3","option_b":"1\/3","option_c":"5","option_d":"15","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le rapport de l'homothétie est obtenu en divisant la nouvelle longueur par l'ancienne : 15\/5 = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"3\", \"b\": \"1\/3\", \"c\": \"5\", \"d\": \"15\"}}","_debug_options_count":4},{"id":22744,"question":"Une rotation d'angle 90° est-elle une isométrie ?","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une rotation conserve les distances et les angles, donc c'est 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":22745,"question":"Quelle transformation géométrique ne conserve pas l'orientation du plan ?","option_a":"Translation","option_b":"Rotation","option_c":"Symétrie centrale","option_d":"Homothétie","option_e":"","option_f":"","bonne_reponse":"c","explication":"La symétrie centrale est une isométrie indirecte qui inverse l'orientation du plan.","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\": \"Symétrie centrale\", \"d\": \"H","_debug_options_count":4},{"id":22746,"question":"Le rapport d'une similitude est toujours positif.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le rapport d'une similitude peut être négatif, ce qui inverse l'orientation du plan.","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":22747,"question":"Quelle est la nature d'une transformation qui multiplie les distances par 1\/2 et inverse l'orientation ?","option_a":"Homothétie de rapport 1\/2","option_b":"Isométrie","option_c":"Similitude de rapport -1\/2","option_d":"Rotation","option_e":"","option_f":"","bonne_reponse":"c","explication":"Une transformation qui multiplie les distances par 1\/2 et inverse l'orientation est une similitude de rapport négatif (-1\/2).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"Homothétie de rapport 1\/2\", \"b\": \"Isométrie\", \"c\": \"Similitude ","_debug_options_count":4},{"id":22748,"question":"Deux triangles semblables ont des angles égaux et des côtés proportionnels.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est la définition même de deux triangles semblables : angles égaux et côtés proportionnels.","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}]