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Transformation variées (sans homothétie) -- Figures à 3 sommets -- 3 étapes (A)

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Academic year: 2021

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Transformations G´eom´etriques (A)

Dessinez l’image finale et les ´etapes interm´ediaires des transformations d´ecrites.

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D´eplacement de la figure par (-5, -2). D´eplacement de la figure par (-5, 1). R´eflexion par rapport `a l’axe x = -2.

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x

6

y

 EE EE EE EE EE EE EE EE EE EE EE EE EE EEE @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @

Rotation dans le sens antihoraire de 90◦ autour du point (3, -5).

Rotation dans le sens horaire de 90◦ autour du point (4, 4).

R´eflexion par rapport `a l’axe x = 3.

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x

6

y

````````````````````` , , , , , , , , , e e e e e e e e e e e e e

Rotation dans le sens horaire de 90◦ autour du point (4, 2).

D´eplacement de la figure par (-6, 4).

Rotation dans le sens antihoraire de 90◦ autour du point (-5, 5). -

x

6

y

                                 CCCC CCCC CCCC CCCC CCCC CCCC CCCC CCCC C

D´eplacement de la figure par (-3, -5). Rotation de 180◦autour du point (4, -3). R´eflexion par rapport `a l’axe x = 2.

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x

6

y

EEEE EE EE EEEE EE EE EE EE EE EE E          

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(2)

Transformations G´eom´etriques (A) Solutions

Dessinez l’image finale et les ´etapes interm´ediaires des transformations d´ecrites.

0

D´eplacement de la figure par (-5, -2). D´eplacement de la figure par (-5, 1). R´eflexion par rapport `a l’axe x = -2.

-

x

6

y

 EE EE EE EE EE EE EE EE EE EE EE EE EE EEE @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @  EE EE EE EEEE EE EE EE EE EE EE EE EE EEE @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @  EE EE EE EE EE EE EE EE EE EE EE EE EEEE E @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ @ X X X X X X X X X X X X X X X X X X X X X               

Rotation dans le sens antihoraire de 90◦ autour du point (3, -5).

Rotation dans le sens horaire de 90◦ autour du point (4, 4).

R´eflexion par rapport `a l’axe x = 3.

-

x

6

y

````````````````````` , , , , , , , , , e e e e e e e e e e e e e      ee ee ee ee e , , , , , , , , , , , , , ````````````````````` , , , , , , , , , e e e e e e e e e e e e e lll ll ll ll%%% %%% %%% %%% % x x

Rotation dans le sens horaire de 90◦ autour du point (4, 2).

D´eplacement de la figure par (-6, 4).

Rotation dans le sens antihoraire de 90◦ autour du point (-5, 5). -

x

6

y

                                 CCCC CCCC CCCC CCCC CCCC CCCC CCCC CCCC C c c c c c c c c c c c c c c c c c c c c c hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh                                c c c c c c c c c c c c c c c c c c c c c hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh                                                                  CCCC CCCC CCCC CCCC CCCC CCCC CCCC CCCC C x x

D´eplacement de la figure par (-3, -5). Rotation de 180◦autour du point (4, -3). R´eflexion par rapport `a l’axe x = 2.

-

x

6

y

EEEE EE EE EEEE EE EE EE EE EE EE E           EE EEEE EE EE EE EE EE EE EE EE EE E           EE EE EE EE EE EE EE EE EE EE EE EE E                                      ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` ` SS SS SS SS SS SS SS SS SS SS SS SS SS SS S x

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