Le plan - 5e

Parallélogrammes & Obtention

Exercice 1 : Reconnaître un parallélogramme par ses diagonales

Parmi les quadrilatères suivants, lesquels sont des parallélogrammes ?

1.

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Sachant que \(O\) est le milieu de \([WY]\)
2.

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Sachant que \(O\) est le milieu de \([QS]\) et \(QR = ST\)
3.

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Sachant que \(O\) est le milieu de \([FH]\)
4.

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Sachant que \(EO = OG\) et \(DG = EF\)

Exercice 2 : 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 QTNR.

Exercice 3 : Démontrer qu'un quadrilatère est un carré

On considère le parallélograme ci-dessous:

On sait que MP = NQ
A l'aide des informations connues, démontrer que \(MNPQ\) est un carré.

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Exercice 4 : 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 5 : Reconnaître un rectangle par ses diagonales

Parmi les quadrilatères suivants, lesquels sont des rectangles ?

1.

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2.

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3.

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4.

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