Parallélisme et perpendicularité - 6e

Parallélogrammes

Exercice 1 : 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 2 : Problème - Droites perpendiculaires, parallèles, angles droits et nature de quadrilatère

On s'intéresse à la figure ci-dessous :

En plus des marquages, on sait que les droites \( (AE) \) et \( (FB) \) sont parallèles.

En utilisant le codage ou en raisonnant, répondre aux questions suivantes.

Parmi ces droites, lesquelles sont parallèles entre elles ?

A. \( (EA) \) et \( (BF) \)
B. \( (AD) \) et \( (BC) \)
C. \( (BA) \) et \( (CD) \)

Parmi ces angles, le ou lesquels sont des angles droits ?

A. \( \widehat{AEF} \)
B. \( \widehat{BCD} \)
C. \( \widehat{BAD} \)

Quelle est la nature du quadrilatère \( ABGE \) ?

Exercice 3 : Compter le nombre de parallélogrammes

Combien y a-t-il de parallélogrammes dans la figure ci-dessous ?

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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 : Problème - Droites perpendiculaires, parallèles, angles droits et nature de quadrilatère

On s'intéresse à la figure ci-dessous :

En plus des marquages, on sait que les droites \( (AB) \) et \( (CD) \) sont parallèles.

En utilisant le codage ou en raisonnant, répondre aux questions suivantes.

Parmi ces droites, lesquelles sont parallèles entre elles ?

A. \( (DA) \) et \( (BC) \)
B. \( (BA) \) et \( (DC) \)
C. \( (EA) \) et \( (BF) \)

Parmi ces angles, le ou lesquels sont des angles droits ?

A. \( \widehat{BCD} \)
B. \( \widehat{AEF} \)
C. \( \widehat{EFB} \)

Quelle est la nature du quadrilatère \( ABCD \) ?

Revenir au choix du niveau