Transformations - 3e

Homothéties

Exercice 1 : Donner le rapport d'une homothétie (rapport pouvant être négatif)

Donner le rapport de l'homothétie de centre \(O\) transformant le triangle \(ABC\) en le triangle \(A'B'C'\).

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Exercice 2 : Tracer une homothétie (rapport strictement positif)

Tracer le triangle \(A'B'C'\) image du triangle \(ABC\) par l'homothétie de centre \(O\) et de rapport \( \dfrac{1}{7} \).

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Exercice 3 : Placer le centre d'une homothétie (rapport pouvant être négatif)

Placer le point \(O\) pour que le triangle \(A'B'C'\) soit l'image du triangle \(ABC\) par l'homothétie de centre \(O\) et de rapport \( \dfrac{1}{2} \).

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Exercice 4 : Placer le centre d'une homothétie (rapport suppérieur à 1)

Placer le point \(O\) pour que le triangle \(A'B'C'\) soit une image du triangle \(ABC\) par l'homothétie de centre \(O\) et de rapport \( 2 \).

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Exercice 5 : Tracer une homothétie (rapport pouvant être négatif)

Tracer le triangle \(A'B'C'\) image du triangle \(ABC\) par l'homothétie de centre \(O\) et de rapport \( -3 \).

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