Symétries centrales

Transformations - Mathématiques 5e

Exercice 1 : Trouver les situations de symétrie centrale - Triangles

Parmi les figures suivantes, la ou lesquelles correspondent à une situation de symétrie centrale de centre \(O\) ?
A', B' et C' sont les symétriques de A, B et C respectivement par rapport à O.

A.

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B.

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C.

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D.

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Exercice 2 : Trouver les situations de symétrie centrale - Rectangles

Parmi les figures suivantes, la ou lesquelles correspondent à une situation de symétrie centrale de centre \(O\) ?
A', B', C' et D' sont les symétriques de A, B, C et D respectivement par rapport à O.

A.

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B.

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C.

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D.

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Exercice 3 : Retrouver une longueur à partir d'une symétrie connue

Les quadrilatères \(ABCD\) et \(A'B'C'D'\) sont symétriques par rapport au point \(O\).
On donne les mesures suivantes : \[\widehat{DAB}=123°\]\[\widehat{BCD}=98°\]\[\widehat{ADC}=57°\]\[\widehat{ABC}=82°\]

Quelle est la longueur du segment \([C'B']\) ?

Exercice 4 : Placer le centre de symétrie d'une figure, si existant

Placer le centre de symétrie de la figure suivante si elle en possède un. Dans le cas contraire, valider sans aucun point.

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Exercice 5 : Trouver les situations de symétrie centrale, où B est le symétrique de A par rapport à O.

Parmi les figures suivantes, la ou lesquelles correspondent à une situation de symétrie centrale, où B est le symétrique de A par rapport à O.

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