Quiz — Lycée Pilote Sfax - Similitudes 1.pdf

Question 1 sur 10 20:00

[{"id":35580,"question":"Quelle transformation géométrique conserve les distances et les angles ?","option_a":"Homothétie","option_b":"Isométrie","option_c":"Projection","option_d":"Symétrie glissée","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une isométrie est une transformation qui conserve les distances et les angles entre les points. Les exemples incluent les translations, rotations et symétries.","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":35581,"question":"Vrai ou Faux : Une homothétie de rapport 2 double les distances entre les points.","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|. Si k=2, les distances sont bien doublées.","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":35582,"question":"Quel est le rapport d'une homothétie qui transforme un segment de longueur 5 cm en un segment de longueur 15 cm ?","option_a":"1\/3","option_b":"3","option_c":"-3","option_d":"15\/5","option_e":"","option_f":"","bonne_reponse":"b","explication":"Le rapport d'homothétie est égal au rapport des longueurs des segments transformés : 15\/5 = 3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"1\/3\", \"b\": \"3\", \"c\": \"-3\", \"d\": \"15\/5\"}}","_debug_options_count":4},{"id":35583,"question":"Vrai ou Faux : Une rotation de 90° dans le sens horaire est équivalente à une rotation de 270° dans le sens anti-horaire.","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 horaire est équivalente à une rotation de 270° dans le sens anti-horaire, car 360° - 90° = 270°.","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":35584,"question":"Quelle est la nature de la transformation qui associe à tout point M le point M' tel que MM' = 2 * AB, où A et B sont deux points fixes ?","option_a":"Translation","option_b":"Homothétie de centre A et rapport 2","option_c":"Rotation de centre A et angle 180°","option_d":"Symétrie axiale","option_e":"","option_f":"","bonne_reponse":"b","explication":"Cette transformation est une homothétie de centre A et de rapport 2, car elle multiplie les distances par 2 à partir du point fixe A.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Translation\", \"b\": \"Homothétie de centre A et rapport 2\", \"c\": \"","_debug_options_count":4},{"id":35585,"question":"Vrai ou Faux : Une similitude peut transformer un triangle rectangle en un triangle non rectangle.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une similitude conserve les angles, donc un triangle rectangle restera rectangle après transformation.","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":35586,"question":"Quel est l'effet d'une homothétie de rapport -1 sur une figure géométrique ?","option_a":"La figure est agrandie","option_b":"La figure est réduite","option_c":"La figure est retournée","option_d":"La figure est translatée","option_e":"","option_f":"","bonne_reponse":"c","explication":"Une homothétie de rapport -1 est une symétrie centrale, qui retourne la figure par rapport à son centre.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"La figure est agrandie\", \"b\": \"La figure est réduite\", \"c\": \"La ","_debug_options_count":4},{"id":35587,"question":"Quelle transformation géométrique conserve les rapports de distances mais pas nécessairement les distances elles-mêmes ?","option_a":"Isométrie","option_b":"Homothétie","option_c":"Translation","option_d":"Symétrie axiale","option_e":"","option_f":"","bonne_reponse":"b","explication":"Une homothétie conserve les rapports de distances entre les points, mais modifie les distances elles-mêmes selon un rapport donné.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Isométrie\", \"b\": \"Homothétie\", \"c\": \"Translation\", \"d\": \"Symét","_debug_options_count":4},{"id":35588,"question":"Vrai ou Faux : Une similitude directe conserve l'orientation des figures.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Une similitude directe conserve l'orientation des figures, contrairement aux similitudes indirectes (comme les symétries axiales).","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":35589,"question":"Quel est le centre d'une homothétie qui transforme le point A(1,2) en A'(3,6) ?","option_a":"(0,0)","option_b":"(2,4)","option_c":"(1,2)","option_d":"(3,6)","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le centre d'une homothétie est le point fixe. Ici, le centre est l'origine (0,0), car A' = 3 * A.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"(0,0)\", \"b\": \"(2,4)\", \"c\": \"(1,2)\", \"d\": \"(3,6)\"}}","_debug_options_count":4}]