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Dilation

Dilation is a geometric transformation that alters the size of a figure, making it either larger or smaller while maintaining similarity to the original image. This transformation involves multiplying the coordinates (x, y) by a constant factor, k. If k > 1, the figure undergoes an enlargement, such as scaling (2, 7) to (10, 35) when k = 5. Conversely, if k < 1, the figure experiences a reduction, as seen when (4, 16) scales down to (1, 4) with k = ¼. Understanding these properties is essential for grasping geometric concepts.

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Dilation

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  1. Dilation Section 2.7

  2. Definition • A transformation that makes a figure larger or smaller. • Therefore since we change the size, the image is SIMILAR to the original

  3. (x, y) • Multiplying both (x, y) by a constant number, k • If k = 5 (2, 7) (10, 35) If k = ¼ (4, 16) (1, 4)

  4. Types • If k > 1 • ENLARGEMENT (BIGGER) If k < 1 - REDUCTION (SMALLER)

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