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SERIE SUR LES ISOMETRIES DU PLAN QUESTIONS DE COURS: EXERCICEI: Soir vec(1) un vecteur du plan, O un point fixe et theta un nombre réel. Monirer que la composée de la translation de vecteur vec(U) et de la rotation de centre O et d 'angle theta est une rotation d'angle theta; puis construire son centre. EXERCICE2:

SERIE SUR LES ISOMETRIES DU PLAN\newlineQUESTIONS DE COURS:\newlineEXERCICEI:\newlineSoir 1undefined \overrightarrow{1} un vecteur du plan, O O un point fixe et θ \theta un nombre réel. Monirer que la composée de la translation de vecteur U⃗ \vec{U} et de la rotation de centre O O et d d 'angle θ \theta est une rotation d'angle θ \theta ; puis construire son centre.\newlineEXERCICE22:

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Q. SERIE SUR LES ISOMETRIES DU PLAN\newlineQUESTIONS DE COURS:\newlineEXERCICEI:\newlineSoir 1undefined \overrightarrow{1} un vecteur du plan, O O un point fixe et θ \theta un nombre réel. Monirer que la composée de la translation de vecteur U⃗ \vec{U} et de la rotation de centre O O et d d 'angle θ \theta est une rotation d'angle θ \theta ; puis construire son centre.\newlineEXERCICE22:
  1. Identify Transformation Effect: Identify the effect of translation by vector U⃗\vec{U} on any point PP in the plane.
  2. Determine Rotation Effect: Determine the effect of rotation by angle θ\theta around point OO on point P′P'.
  3. Combine Effects for Transformation: Combine the effects of translation and rotation to find the overall transformation.
  4. Show Equivalence to Rotation: Show that the composition of the two transformations is equivalent to a single rotation.
  5. Find Center of Equivalent Rotation: Find the center of the rotation that is equivalent to the composition of the translation and rotation.

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