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Geometry with CT

In this lesson, we'll explore the concepts of dilations and similarity in the coordinate plane. You will learn how dilations change the size of a figure without altering its shape. We'll cover the scale factor, which indicates how much a figure is enlarged or reduced. Through examples, you'll see how to apply the scale factor to find the coordinates of the dilated image of a point. Be sure to take notes and review the material for a complete understanding. A lesson quiz awaits to test your knowledge!

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Geometry with CT

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Presentation Transcript

  1. Geometry with CT Section 7-6: Dilations and similarity in the coordinate plane CT Okemos High School Math Instructors/Students

  2. What you’ll learn

  3. Quick Vocab **Just keep these in mind during the lesson**

  4. What is a Dilation? Changing the size, but not the shape of an image. This is the only transformation that does not an isometry.

  5. Example

  6. Scale factor A scale factor describes how much the figure is enlarged or reduced. For a dilation with scale factor k, you can find the image of a point by multiplying each coordinate by k: (a, b) → (ka, kb).

  7. Example

  8. Example

  9. Wrap-Up Re-watch any parts of the video for a full understanding of Scale factor and Dilations. If you’re watching on YouTube, DO NOT type questions in the comments section. Because your instructors won’t receive them Lesson quiz on the next slide! Probably 100 Points

  10. Lesson Quiz

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