Symétries axiales

Transformations - Mathématiques 5e

Exercice 1 : Trouver les situations de symétrie axiale - Segments

Parmi les figures suivantes, la ou lesquelles correspondent à une situation de symétrie axiale. A' et B' sont les symétriques de A et B respectivement par rapport à l'axe ?

A.

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B.

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C.

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D.

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Exercice 2 : Exercice de construction - symétrie axiale/médiatrice

Tracer deux cercles de même rayon qui se coupent en M et en N.
Nommer les centres de ces cercles respectivement A et B.
Tracer le segment [AB].
Tracer la droite (MN).

Que peut-on dire de la droite (MN) ?

C'est la médiatrice du segment [AB]

Elle coupe le segment [AB] en A

Elle ne coupe pas le segment [AB]

Elle est parallèle au segment [AB]

Exercice 3 : Calcul de longueurs par symétries

On considère un triangle \(CBY\) tel que \(CB = 6 cm\), \(CY = 9 cm\) et \(BY = 4,5 cm\).
Construire le milieu \(G\) de \([BY]\) et coder le dessin.
Construire le symétrique \(C'B'Y'\) du triangle \(CBY\) par la symétrie axiale d'axe \([BY]\).

Calculer la longueur \(C'Y'\).

Exercice 4 : Tracer le symétrique d'un point par rapport à un axe à l'aide d'un quadrillage

Construire les symétriques des points A, B, C et D par rapport à l'axe \((d)\).

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Exercice 5 : Tracer le symétrique d'un triangle par symétrie axiale à l'aide d'un quadrillage

Tracer le symétrique du triangle ABC par rapport à l'axe.

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Nos exercices sont conformes aux programmes de l'Éducation Nationale de la 6e à la Terminale. Grâce à Kwyk, les élèves s'entraînent sur du calcul mental, des exercices d'arithmétique et de géométrie, des problèmes et des exercices d'application, des exercices d'algorithmique et de python, des annales du brevet des collèges et du baccalauréat. Nos exercices sont proposés sous forme de réponse libre et/ou de QCM.

Afin d'assurer un entraînement efficace et pertinent aux élèves, chaque exercice est généré avec des valeurs aléatoires. Les élèves peuvent s'entraîner grâce aux devoirs donnés sur Kwyk par leurs professeurs et aux devoirs générés par notre outil utilisant l'IA mais aussi grâce aux différents modules de travail en autonomie mis à disposition sur leur espace personnel. Pour les niveaux du collège, les élèves ont également accès à des cours constitués d'une partie théorique et d'une partie pratique.
Avec Kwyk, vous mettez toutes les chances du côté des élèves pour que les différents théorèmes, propriétés et définitions n'aient plus aucun secret pour eux.

En 2024, plus de 40 000 000 d'exercices ont été réalisés sur Kwyk en Mathématiques.

Exercices de Mathématiques : préparer les examens
Brevet des collèges | Baccalauréat
S'entraîner dans d'autres matières
Français | Physique-Chimie