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Geometry

Discover the art of dilations in geometry with this comprehensive guide. Understand how figures are enlarged or reduced relative to a fixed point called the center of dilation, utilizing a scale factor to determine size changes. Solve practical problems involving scale factors and dilations to enhance your geometric skills. Dive into real-life scenarios where dilations play a crucial role, honing your ability to identify and execute dilations accurately. Whether it's enlargements, reductions, or using negative scale factors, this resource covers it all. Strengthen your grasp on scaling figures in the x-y plane and learn to find the length of images with precision. Enhance your problem-solving capabilities and excel in geometrical transformations with this invaluable tool.

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Geometry

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  1. Geometry 4-4 Dilations

  2. Goals • Identify and perform dilations. • Solve real-life problems involving scale factors and dilations.

  3. 4-4 Dilations A dilation is a transformation in which a figure is enlarged or reduced with respect to a fixed point.

  4. 4-4 Dilations A dilation is a transformation in which a figure is enlarged or reduced with respect to a fixed point C called the center of dilation and a scale factor k, which is the ratio of the lengths of the corresponding sides of the image and the preimage.

  5. 4-4 Dilations

  6. 4-4 Dilations and Scale factor

  7. Ex. 1 Enlargement or Reduction 1. Find the scale factor. 2. Determine if the image is enlarged or reduced.

  8. 4-4 Dilation

  9. 4-4 Dilating a figure in x-y plane

  10. 4-4 Dilating a figure in x-y plane

  11. 4-4 Dilating a figure in x-y plane

  12. 4-4 Using negative Scale factor

  13. 4-4 Finding a Scale factor

  14. 4-4 Finding the length of an image

  15. CW 4-4: 1,2,3,4,5,6

  16. CW 4-4: 15,16,17

  17. CW 4-4: Solutions

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