1 / 23

Warm Up Multiply. 1. 4  2. 12  3. 24  4. –36 

7-5. Dilations. 3 4. 3 4. 3 4. 3 4. Course 3. Warm Up Multiply. 1. 4  2. 12  3. 24  4. –36 . 9. 3. 18. –27. 10. 30. 5. 4  2.5 6. 12  2.5. 7-5. Dilations. Course 3. Problem of the Day

debra-mcintosh
Download Presentation

Warm Up Multiply. 1. 4  2. 12  3. 24  4. –36 

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. 7-5 Dilations 3 4 3 4 3 4 3 4 Course 3 Warm Up Multiply. 1. 4  2. 12  3. 24  4. –36  9 3 18 –27 10 30 5. 4 2.5 6. 12 2.5

  2. 7-5 Dilations Course 3 Problem of the Day Every day, a plant grows to three times its size. Every night, it shrinks to half its size. After three days and nights, it is 6.75 in. tall. How tall was the plant at the start? 2 in.

  3. 7-5 Dilations Course 3 Essential Question Describe the image of a dilation with a scale factor of 1. Learn to identify and create dilations of plane figures. Objective 3.03

  4. 7-5 Dilations Course 3 Insert Lesson Title Here Vocabulary dilation scale factor center of dilation Remember transformations in chapter 5? Translations, rotations, and reflections? Remember that transformations maintained their shapeandsize? Well, dilation are transformations that keep the same shape; however, the size changes.

  5. 7-5 Dilations Course 3 Your pupils are the black areas in the center of your eyes. When you go to the eye doctor, the doctor may dilate your pupils, which makes them larger. Dilations video stream from United Streaming… http://streaming.discoveryeducation.com/search/assetDetail.cfm?guidAssetID=A39E2AC4-E031-4E6A-8115-FC59EF04BF76 (Hyperlink attached to clipart)

  6. 7-5 Dilations Course 3 Translations, reflections, and rotations are transformations that do not change the size or shape of a figure. A dilation is a transformation that changes the size, but not the shape, of a figure. A dilation can enlarge or reduce a figure.

  7. 7-5 Dilations Course 3 A scale factor describes how much a figure is enlarged or reduced. A scale factor can be expressed as a decimal, fraction, or percent. A 10% increase is a scale factor of 1.1, and a 10% decrease is a scale factor of 0.9.

  8. 7-5 Dilations Helpful Hint A scale factor between 0 and 1 reduces a figure. A scale factor greater than 1 enlarges it. Course 3 Insert Lesson Title Here

  9. 7-5 Dilations Course 3 Insert Lesson Title Here Additional Example 1A & 1B: Identifying Dilations Tell whether each transformation is a dilation. A. B. The transformation is not a dilation. The figure is distorted. The transformation is a dilation.

  10. 7-5 Dilations Course 3 Insert Lesson Title Here Additional Example 1C & 1D: Identifying Dilations Tell whether each transformation is a dilation. D. C. The transformation is not a dilation. The figure is distorted. The transformation is a dilation.

  11. 7-5 Dilations A' A' A B B' B' C' C' C A B C Course 3 Try This: Example 1A & 1B Tell whether each transformation is a dilation. A. B. The transformation is not a dilation. The figure is distorted. The transformation is a dilation.

  12. 7-5 Dilations A A A' A' B C C' B' B C C' B' Course 3 Try This: Example 1C & 1D Tell whether each transformation is a dilation. D. C. The transformation is not a dilation. The figure is distorted. The transformation is a dilation.

  13. 7-5 Dilations Course 3 Insert Lesson Title Here Every dilation has a fixed point that is the center of dilation. To find the center of dilation, draw a line that connects each pair of corresponding vertices. The lines intersect at one point. This point is the center of dilation.

  14. 7-5 Dilations Course 3 Insert Lesson Title Here Additional Example 2: Dilating a Figure Dilate the figure by a scale factor of 1.5 with P as the center of dilation. Multiply each side by 1.5.

  15. 7-5 Dilations G 1 cm 1 cm 2 cm 2 cm F’ H’ 1 cm F H 2 cm Course 3 Insert Lesson Title Here Try This: Example 2 Dilate the figure by a scale factor of 0.5 with G as the center of dilation. G 2 cm 2 cm F H 2 cm Multiply each side by 0.5.

  16. 7-5 Dilations A’B’C’ A(4, 8) A’(4  2, 8  2) A’(8, 16) B(3, 2) B’(3  2, 2  2) B’(6, 4) C(5, 2) C’(5  2, 2  2) C’(10, 4) ABC Course 3 Insert Lesson Title Here Additional Example 3A: Using the Origin as the Center of Dilation Dilate the figure in Example 3A on page 363 by a scale factor of 2. What are the vertices of the image? Multiply the coordinates by 2 to find the vertices of the image. The vertices of the image are A’(8, 16), B’(6, 4), and C’(10, 4).

  17. 7-5 Dilations Dilate the figure in Example 3B by a scale factor of . What are the vertices of the image? 1 3 Multiply the coordinates by to find the vertices of the image. A’B’C’ C(6, 3) C’(6  , 3 ) C’(2, 1) B(9, 6) B’(9  , 6 ) B’(3, 2) A(3, 9) A’(3  , 9 ) A’(1, 3) ABC 1 3 1 3 1 3 1 3 1 3 1 3 1 3 Course 3 Insert Lesson Title Here Additional Example 3B: Using the Origin as the Center of Dilation The vertices of the image are A’(1, 3), B’(3, 2), and C’(2, 1).

  18. 7-5 Dilations Course 3 Insert Lesson Title Here Try This: Example 3A Dilate the figure by a scale factor of 2. What are the vertices of the image? 10 8 6 C 4 2 A B 10 8 4 6 2 0

  19. 7-5 Dilations A’B’C’ A(2, 2) A’(2  2, 2  2) A’(4, 4) B(4, 2) B’(4  2, 2  2) B’(8, 4) C(2, 4) C’(2  2, 4  2) C’(4, 8) ABC Course 3 Insert Lesson Title Here Try This: Example 3A Continued The vertices of the image are A’(4, 4), B’(8, 4), and C’(4, 8).

  20. 7-5 Dilations C’ B’ A’ Course 3 Insert Lesson Title Here Try This: Example 3A Continued 10 8 6 C 4 2 B A 10 8 4 6 2 0

  21. 7-5 Dilations Course 3 Insert Lesson Title Here Try This: Example 3B Dilate the figure by a scale factor of 0.5. What are the vertices of the image? 10 C 8 6 B A 4 2 10 8 4 6 2 0

  22. 7-5 Dilations A(4, 5) A’(4  0.5, 5  0.5) A’(2, 2.5) B(8, 5) B’(8  0.5, 5  0.5) B’(4, 2.5) A’B’C’ ABC C(4, 9) C’(4  0.5, 9  0.5) C’(2, 4.5) Course 3 Insert Lesson Title Here Try This: Example 3B Continued The vertices of the image are A’(2, 2.5), B’(4, 2.5), and C’(2, 4.5).

  23. 7-5 Dilations C’ B’ A’ Course 3 Insert Lesson Title Here Try This: Example 3B Continued 10 C 8 6 B A 4 2 10 8 4 6 2 0

More Related