Quiz — 60023-magazine-dentrenement-n04-isometrie-du-plan-enonce.pdf

Question 1 sur 10 20:00

[{"id":9983,"question":"Quelle transformation géométrique conserve les distances et les angles mais inverse l'orientation ?","option_a":"Une translation","option_b":"Une rotation","option_c":"Une symétrie axiale","option_d":"Une homothétie","option_e":"","option_f":"","bonne_reponse":"c","explication":"La symétrie axiale conserve les distances et les angles mais inverse l'orientation de la figure.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"Une translation\", \"b\": \"Une rotation\", \"c\": \"Une symétrie axiale","_debug_options_count":4},{"id":9984,"question":"Une translation est une isométrie qui ne conserve pas l'orientation.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une translation conserve l'orientation de la figure.","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":9985,"question":"Quelle est l'image d'un point M(2;3) par la translation de vecteur u(1;-2) ?","option_a":"M'(3;1)","option_b":"M'(1;5)","option_c":"M'(3;5)","option_d":"M'(1;1)","option_e":"","option_f":"","bonne_reponse":"a","explication":"L'image de M(2;3) par la translation de vecteur u(1;-2) est M'(2+1; 3-2) = M'(3;1).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"M'(3;1)\", \"b\": \"M'(1;5)\", \"c\": \"M'(3;5)\", \"d\": \"M'(1;1)\"}}","_debug_options_count":4},{"id":9986,"question":"Une rotation de 90° dans le sens direct transforme un vecteur u(2;1) en un vecteur v(-1;2).","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une rotation de 90° dans le sens direct transforme u(a;b) en v(-b;a). Ici, u(2;1) devient v(-1;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":9987,"question":"Quelle est la nature de la transformation qui associe à tout point M son symétrique M' par rapport à un point O ?","option_a":"Une translation","option_b":"Une symétrie centrale","option_c":"Une rotation","option_d":"Une homothétie","option_e":"","option_f":"","bonne_reponse":"b","explication":"La transformation qui associe à tout point M son symétrique M' par rapport à un point O est 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\": \"b\", \"options\": {\"a\": \"Une translation\", \"b\": \"Une symétrie centrale\", \"c\": \"Une rotati","_debug_options_count":4},{"id":9988,"question":"Le centre de symétrie d'une figure est toujours un point de cette figure.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le centre de symétrie d'une figure n'est pas nécessairement un point de cette figure (exemple : un cercle).","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":9989,"question":"Quelle transformation géométrique conserve les distances mais peut inverser l'orientation ?","option_a":"Une translation","option_b":"Une rotation","option_c":"Une symétrie axiale","option_d":"Une homothétie de rapport -1","option_e":"","option_f":"","bonne_reponse":"c","explication":"La symétrie axiale conserve les distances mais inverse l'orientation de la figure.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"Une translation\", \"b\": \"Une rotation\", \"c\": \"Une symétrie axiale","_debug_options_count":4},{"id":9990,"question":"L'image d'un segment [AB] par une isométrie est toujours un segment [A'B'] de même longueur.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Par définition, une isométrie conserve les distances, donc l'image d'un segment [AB] est un segment [A'B'] de même longueur.","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":9991,"question":"Quelle est l'image d'un triangle ABC par une rotation de 180° autour d'un point O ?","option_a":"Un triangle A'B'C' symétrique de ABC par rapport à O","option_b":"Un triangle A'B'C' translaté de ABC","option_c":"Un triangle A'B'C' homothétique de ABC","option_d":"Un triangle A'B'C' identique à ABC","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une rotation de 180° autour d'un point O est équivalente 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\": \"Un triangle A'B'C' symétrique de ABC par rapport à O\", \"b\": \"Un","_debug_options_count":4},{"id":9992,"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":"Deux figures isométriques conservent les distances et les angles, donc elles ont la même aire.","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}]