Le plan - 5e

Parallélogrammes & Déduction

Exercice 1 : Retrouver la nature d'un polygone - polygone régulier

Quelle est la nature de la figure suivante ?

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Exercice 2 : Calculer le périmètre d'un carré, données : longueur d'un côté (entiers, en m ou cm) et codages

Quel est le périmètre du carré ?

Exercice 3 : Calculer l'aire d'un rectangle - Problème contextualisé

Un couple souhaite changer la moquette de sa salle à manger. La pièce rectangulaire a pour dimensions \( 9,5 m \:\text{et}\: 2,5 m\).

Quelle surface de moquette sera nécessaire ?
On donnera la réponse suivie de l'unité qui convient.

Exercice 4 : Calcul d'aire avec unités aléatoires - Triangle ou rectangle

Soit un triangle ABC, dont on donne les mesures suivantes : \[ AH = 50 m\]\[CH = 5 dam\]\[AB = 10 dam \] Calculer l'aire de la figure.
(On donnera la réponse sous forme exacte, en précisant l'unité)

Exercice 5 : Démontrer qu'un point est le milieu d'une diagonale d'un parallélogramme

Sur la figure ci-dessous, GHIJ et GKIL sont des parallélogrammes. M est le milieu de [GI].

Montrer que M est le milieu [HJ].

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