1 / 29

Transformations Review

This review focuses on transformations in geometry, particularly dilations and their effects on coordinates. It explores how to calculate the new coordinates after applying different scale factors, identifies transformations that preserve congruency (translations, reflections, rotations), and explains the definition of similar figures. Key examples include calculating coordinates for various transformations and determining scale factors used for dilations. This comprehensive overview provides essential insights into geometric transformations and their implications in understanding shapes and figures.

george
Télécharger la présentation

Transformations Review

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Transformations Review

  2. What are the coordinates of the new image after a dilation with a scale factor of 3?

  3. What are the coordinates of the new image after a dilation with a scale factor of 3? S’ (-9, 3) T’ (-9, 6) U’ (6, 3)

  4. Which of the following transformations preserve congruency? • Translations • Reflections • Rotations • Dilations

  5. Which of the following transformations preserve congruency? • Translations • Reflections • Rotations • Dilations

  6. Explain how you know that translations, reflections, and rotations preserve congruency.

  7. Explain how you know that translations, reflections, and rotations preserve congruency. • The figure stays the same size and the same shape.

  8. A dilation results in a similar figure to the pre-image. What does “similar” mean?

  9. A dilation results in a similar figure to the pre-image. What does “similar” mean? • Same shape, but not necessarily the same size.

  10. What is the scale factor that was used to dilate parallelogram STUV to the purple parallelogram?

  11. What is the scale factor that was used to dilate parallelogram STUV to the purple parallelogram? Scale factor is 2

  12. Given this pre-image, what are the coordinates after a dilation of ¼?

  13. Given this pre-image, what are the coordinates after a dilation of ¼? K’ (-1,-2) L’ (1, -2) M’ (1, 0) N’ (-1,0)

  14. A’ (-8, -6) B’ (-8, -3)

  15. Which 2 colored triangles are a reflection of one another?

  16. Which 2 colored triangles are a reflection of one another? Green and Purple

  17. What transformations occurred to transform triangle ABC to triangle A’B’C’? A B C C’ B’ A’

  18. What transformations occurred to transform triangle ABC to triangle A’B’C’? A reflection over the x-axis, and then a translation 2 units to the right.

  19. ORANGE

  20. A (3, 8)

  21. A (3, 8) A’ (8, -3)

  22. Translate the following coordinates 3 units to the left, then rotate 270 degrees clockwise. A (-3, 5) B (1, -6) C (2, 9)

  23. Translate the following coordinates 3 units to the left, then rotate 270 degrees clockwise. A (-3, 5) B (1, -6) C (2, 9) A’ (-6, 5) B’ (-2, -6) C’ (-1, 9) A” (-5, -6) B” (6, -2) C” (-9, -1)

  24. What was the scale factor used to dilate C (-12, 3) D (9, -3) E (0, 15) to C’ (-4, 1) D’ (3, -1) E’ (0, 5)

  25. What was the scale factor used to dilate C (-12, 3) D (9, -3) E (0, 15) to C’ (-4, 1) D’ (3, -1) E’ (0, 5) Scale Factor is 1/3

More Related