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C est le symétrique du point A par rapport au point B2. BCDE est un rectangle tel que CD = 36 mm3. H est le symétrique du point C par rapport au point D4. DFGH est un losange tel que HDF = 30°5. K est l'image du point F par la symétrie centrale de centre G6. GIJK est un carré7. J est le milieu du segment [KL]8. N est le point tel que LJN = 60° et JN = 60 mm9. M est le point tel que (LM) // (JN) et (JL) // (NM)10. 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Les élèves doivent atteindre une cible en construisant plusieurs figures. Cette activité permet de revoir un peu tout ce qui a été vues précédemment en géométrie. -Cahier de bord: Les derniers tracés font construire un parallélogramme. On en profitera pour donner la définition. +Cahier de bord: Les derniers tracés font construire un parallélogramme. On en profitera pour donner la définition et coller `un exemple de parallélogramme <./B1_parallelogramme.pdf>`_. -Ètape 2: Le parallélogramme +Étape 2: Le parallélogramme =========================== -Exercices techniques de construction de parallélogrammes +Exercices techniques de construction de parallélogrammes. On leur demande séparer une feuille blanche en 4. + +- Dans les 2 premières parties, ils doivent placer 3 points A, B, C. +- Dans la 3e parties, ils doivent placer 3 points A, B, C tels que (AB) et (AC) soient perpendiculaires. +- Dans la 4e parties, ils doivent placer 3 points A, B, C tels que AB et AC soient égales. + +On leurs demande ensuite dans chacun des cas de placer le points D tel que ABCD soit un parallélogramme en utilisant la règle et le compas. + +Cahier de bord: On s'interroge sur les parallélogrammes 3 et 4. On écrit dans le cahier de bord que le rectangle et le losange sont des parallélogrammes particuliers. + +Étape 3: Symétries des quadrilatères +===================================== + +On pose la question: + + Les parallélogrammes, les rectangles, les losanges et les carrés ont-ils des axes de symétries? des centres de symétries? + +Les élèves commencent à répondre aux questions seuls puis en groupe. Ils sont invité à construire des exemples et à utiliser le matériel qui leur semble approprié (calque, pliage...) + +Cahier de bord: On note les `différentes symétries retrouvées sur les quadrilatères <./B3_quadrilateres_particuliers.pdf>`_. + +Étape 4: Propriétés des quadrilatères +===================================== + +`Une fiche de vrai-faux <./E4-vraifaux.pdf>`_ est donnée . Les élèves doivent expliquer leurs réponses à l'aide d'un croquis ou d'une propriété. + +En classe, on commence à travailler sur les premiers, d'abord seul puis en groupe et enfin les groupes expliquent leurs réponses et on débat des démonstrations. + +Quelques un sont donné à faire à la maison. + +Cahier de bord: Les propriétés vraies sont notés dans le cahier de bord. +