How are dilations and similarity related?

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2026-02-09 05:25

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Dilations and similarity are closely related in geometry, as both involve the proportional scaling of figures. A dilation transforms a shape by enlarging or reducing it from a center point, maintaining the shape's angles while changing the lengths of its sides proportionally. This proportionality in side lengths and preserved angles results in similar figures, meaning they have the same shape but may differ in size. Thus, every dilation produces a similar figure, illustrating the fundamental link between these two concepts.

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