Parallélogrammes & Obtention

Le plan - Mathématiques 5e

Exercice 1 : Construction de parallélogrammes à partir d'une symétrie centrale

Tracer sur papier un triangle \(CPO\), et placer un point \(Y\) à l'extérieur de ce triangle.
Construire les points \(R\), \(M\) et \(E\), respectivement symétriques des points \(C\), \(P\) et \(O\) par la symétrie centrale de centre \(Y\).
Citer tous les parallélogrammes présents dans la figure.
On écrira la réponse sous la forme d'une liste séparée par des points-virgule (;).

Exercice 2 : Compléter le 4e point de la figure pour former un parallélogramme

Ajouter le point D au dessin pour que ABCD soit un parallélogramme, puis compléter le parallélogramme.

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Exercice 3 : Problème - Reconnaître un quadrilatère particulier en utilisant le codage et la définition d'un cercle

On considère deux cercles de centre O suivant la figure ci-dessous.

Donnez la nature la plus précise possible du quadrilatère RUPS.

Exercice 4 : Reconnaître un losange par ses diagonales

Parmi les quadrilatères suivants, lesquels sont des losanges ?

1.

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2.

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3.

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4.

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Exercice 5 : Reconnaître un losange par ses côtés et ses angles

Parmi les quadrilatères suivants, lesquels sont des losanges ?

1.

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2.

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3.

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4.

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