Homothéties

Transformations - Mathématiques 3e

Exercice 1 : 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 \( 6 \).

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Exercice 2 : Placer le centre d'une homothétie (rapport strictement positif)

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 \( 3 \).

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Exercice 3 : Donner le rapport d'une homothétie (rapport supérieur à 1)

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

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Exercice 4 : 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 5 : Donner le rapport d'une homothétie (rapport strictement positif)

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

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