Parallélisme et perpendicularité - 6e

Parallélogrammes

Exercice 1 : Droites perpendiculaires, parallèles et nature de quadrilatère

On s'intéresse à la figure ci-dessous :

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

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

Parmi ces droites, lesquelles sont parallèles entre elles ?

A. \( (EA) \) et \( (FB) \)
B. \( (AB) \) et \( (DC) \)
C. \( (DA) \) et \( (BC) \)

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

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

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

Exercice 2 : Compléter le dessin pour que ABCD soit un parallélogramme

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

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Exercice 3 : Nommer un quadrilatère

Nommer le quadrilatère suivant.

Exercice 4 : Compter le nombre de parallélogrammes

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

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Exercice 5 : Droites perpendiculaires, parallèles et nature de quadrilatère

On s'intéresse à la figure ci-dessous :

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

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

Parmi ces droites, lesquelles sont parallèles entre elles ?

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

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

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

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

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