1 / 15

Notes 49

Notes 49. Dilations. A dilation is a transformation that changes the size, but not the shape, of a figure. After a dilation, the image of a figure is similar to the preimage. Additional Example 1A: Identifying Dilations. Tell whether each transformation is a dilation.

lucky
Download Presentation

Notes 49

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. Notes 49 Dilations

  2. A dilation is a transformation that changes the size, but not the shape, of a figure. After a dilation, the image of a figure is similar to the preimage.

  3. Additional Example 1A: Identifying Dilations Tell whether each transformation is a dilation. The figures are not similar, so the transformation is not a dilation.

  4. Additional Example 1B: Identifying Dilations Tell whether each transformation is a dilation. The figures are similar, so the transformation Is a dilation.

  5. Check It Out: Example 1A Tell whether each transformation is a dilation. A B A’ B’ 3 cm 6 cm C’ D’ 5 cm D C 10 cm

  6. Check It Out: Example 1B Tell whether each transformation is a dilation. X’ Y 13 yd 6 yd 6 yd 5 yd z X z’ Y’ 6 yd 12 yd

  7. Remember! Similar figures have the same shape but not necessarily the same size.

  8. Additional Example 2: Using Dilation to Enlarge a Figure Draw the vertices of the image of ∆ABC after a dilation by a scale factor of 2. What are the vertices of the image? Write the coordinates of the vertices of ABC. Then multiply the coordinates by 2 to find the coordinates of the vertices of A'B'C'.

  9. A’B’C’ ABC A(0, 0) A’(0  2, 0  2) A’(0, 0) B(1, 2) B’(1  2, 2  2) B’(2, 4) C(3, 1) C’(3  2, 1  2) C’(6, 2) Additional Example 2 Continued The vertices of the image are A’(0, 0), B’(2, 4), and C’(6, 2).

  10. Additional Example 2 Continued

  11. Check It Out: Example 2A Find the vertices of the image of each figure after a dilation by the given scale factor. Then draw the image. Scale factor 3

  12. Check It Out: Example 2B Find the vertices of the image of each figure after a dilation by the given scale factor. Then draw the image. Scale factor 2

  13. 1 3 D’E’F’ DEF 1 3 1 3 D(3, 3) D’(3 , 3 ) D’(1, 1) 1 3 1 3 E(6, 6) E’(6 , 6 ) E’(2, 2) 1 3 1 3 F(9, 3) F’(9 , 3 ) F’(3, 1) Additional Example 3: Using a Dilation to Reduce a Figure Draw the image of ∆DEF after a dilation by a scale factor of . Then draw the image. Write the coordinates of the vertices of DEF. The multiply the coordinates by 1/3 to find the coordinates of the vertices of D‘E‘F'. The vertices of the image are D’(1, 1), E’(2, 2), and F’(3, 1).

  14. Check It Out: Example 3A Find the vertices of the image of each figure after a dilation by the given scale factor. Then draw the image. 1 3 Scale factor

  15. Check It Out: Example 3B Find the vertices of the image of each figure after a dilation by the given scale factor. Then draw the image. 1 4 Scale factor

More Related