Transformations - 5e

Symétries axiales

Exercice 1 : Reconaître la nature d'un triangle avec axe de symétrie

Sur la figure ci-dessous, les points B et D ne sont pas symétriques par rapport à la droite (AC). Que peut-on dire de la nature du triangle \(ACD\) d'après ce que l'on sait?

C'est un triangle équilatéral
C'est un triangle rectangle isocèle
C'est un triangle isocèle
C'est un triangle quelconque

Exercice 2 : 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 3 : 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 4 : Maîtriser la définition du symétrique d'un point par rapport à une droite

Voici une figure

Parmi les phrases suivantes, lesquelles sont correctes ?

1. B est le symétrique de A par rapport à l'axe (d)
2. A est le symétrique de B à la droite (d)
3. A et B sont les symétries par rapport à la droite (d)
4. B est le symétrique de A par rapport à la droite (d)

Exercice 5 : Trouver les situations de symétrie axiale - Points

Parmi les figures suivantes, lesquelles correspondent à une situation de symétrie axiale, où B est le symétrique de A par rapport à (d).

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