Quiz — Geometrie_exercices_corriges_Math_livre_scolaire_3_eme.pdf

Question 1 sur 10 20:00

[{"id":45978,"question":"Quelle est la somme des angles d'un triangle ?","option_a":"90°","option_b":"180°","option_c":"360°","option_d":"270°","option_e":"","option_f":"","bonne_reponse":"b","explication":"La somme des angles internes d'un triangle est toujours égale à 180°, une propriété fondamentale en géométrie plane.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"90°\", \"b\": \"180°\", \"c\": \"360°\", \"d\": \"270°\"}}","_debug_options_count":4},{"id":45979,"question":"Le théorème de Pythagore s'applique uniquement aux triangles rectangles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le théorème de Pythagore ne s'applique qu'aux triangles rectangles, où le carré de l'hypoténuse est égal à la somme des carrés des deux autres côtés.","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":45980,"question":"Si deux droites sont parallèles à une même troisième, alors elles sont parallèles entre elles.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"C'est une propriété fondamentale de la géométrie euclidienne : la transitivité du parallélisme.","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":45981,"question":"Quel est le volume d'un cube d'arête 4 cm ?","option_a":"16 cm³","option_b":"32 cm³","option_c":"64 cm³","option_d":"128 cm³","option_e":"","option_f":"","bonne_reponse":"c","explication":"Le volume d'un cube se calcule par la formule V = arête³. Ici, 4³ = 64 cm³.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"16 cm³\", \"b\": \"32 cm³\", \"c\": \"64 cm³\", \"d\": \"128 cm³\"}}","_debug_options_count":4},{"id":45982,"question":"Dans un triangle rectangle, le côté opposé à l'angle droit s'appelle :","option_a":"Médiane","option_b":"Hypoténuse","option_c":"Médiatrice","option_d":"Bissectrice","option_e":"","option_f":"","bonne_reponse":"b","explication":"L'hypoténuse est le côté opposé à l'angle droit dans un triangle rectangle, et c'est le côté le plus long.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Médiane\", \"b\": \"Hypoténuse\", \"c\": \"Médiatrice\", \"d\": \"Bissectr","_debug_options_count":4},{"id":45983,"question":"L'aire d'un cercle de rayon r est donnée par la formule :","option_a":"πr","option_b":"2πr","option_c":"πr²","option_d":"4πr²","option_e":"","option_f":"","bonne_reponse":"c","explication":"L'aire d'un cercle se calcule avec la formule A = πr², où r est le rayon.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"πr\", \"b\": \"2πr\", \"c\": \"πr²\", \"d\": \"4πr²\"}}","_debug_options_count":4},{"id":45984,"question":"Deux angles sont complémentaires si leur somme est égale à :","option_a":"90°","option_b":"180°","option_c":"360°","option_d":"45°","option_e":"","option_f":"","bonne_reponse":"a","explication":"Deux angles sont complémentaires lorsque leur somme est égale à 90°.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"90°\", \"b\": \"180°\", \"c\": \"360°\", \"d\": \"45°\"}}","_debug_options_count":4},{"id":45985,"question":"Le théorème de Thalès permet de calculer des longueurs dans des triangles semblables.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le théorème de Thalès établit une proportionnalité entre les côtés de deux triangles semblables ou entre les segments d'une configuration géométrique.","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":45986,"question":"Quelle est l'aire d'un rectangle de longueur 8 cm et de largeur 5 cm ?","option_a":"13 cm²","option_b":"26 cm²","option_c":"40 cm²","option_d":"65 cm²","option_e":"","option_f":"","bonne_reponse":"c","explication":"L'aire d'un rectangle se calcule par la formule A = longueur × largeur. Ici, 8 × 5 = 40 cm².","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"c\", \"options\": {\"a\": \"13 cm²\", \"b\": \"26 cm²\", \"c\": \"40 cm²\", \"d\": \"65 cm²\"}}","_debug_options_count":4},{"id":45987,"question":"Dans un triangle isocèle, les angles à la base sont toujours égaux.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Par définition, un triangle isocèle a deux côtés égaux et les angles opposés à ces côtés sont également égaux.","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}]