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1. Have your homework out to be stamped. 2. Complete the next 2 sections of your SKILL BUILDER.

1. Have your homework out to be stamped. 2. Complete the next 2 sections of your SKILL BUILDER. Name: __________________________________________ Date: ______________________ Period: ____ Weekly Homework 8 th 2 - 6 Show all of your work to get credit. 82˚. 33˚. 92˚.

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1. Have your homework out to be stamped. 2. Complete the next 2 sections of your SKILL BUILDER.

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  1. 1. Have your homework out to be stamped.2. Complete the next 2 sections of your SKILL BUILDER.

  2. Name: __________________________________________ Date: ______________________ Period: ____ Weekly Homework 8th 2 - 6 Show all of your work to get credit. 82˚ 33˚ 92˚ 18˚ 102˚ 40˚ 62˚ 48˚ x² + 21² = 25² x² + 441 = 625 x² = 184 x = 13.56 x = 13.6

  3. 8k² - 24k + 12 2 - d 6h + 4 -10c² - 15 x -8 x -21 x -12

  4. Transformations: Dilations

  5. What is a Dilation? • Dilation is a transformation that produces a figure similar to the original by proportionally shrinking or stretching the figure.

  6. Proportionally Let’s take a look… And, of course, increasing the circle increases the diameter. • When a figure is dilated, it must be proportionally larger or smaller than the original. So, we always have a circle with a certain diameter. We are just changing the size or scale. Decreasing the size of the circle decreases the diameter. We have a circle with a certain diameter. • Same shape, Different scale.

  7. A HINT: SAME SHAPE, DIFFERENT SIZE C D B Which of these are dilations??

  8. Scale Factor and Center of Dilation When we describe dilations we use the terms scale factor Scale factor Here we have Igor. He is 3 feet tall and the greatest width across his body is 2 feet. He wishes he were 6 feet tall with a width of 4 feet. He wishes he were larger by a scale factor of 2.

  9. Scale Factor • If the scale factor is larger than 1, the figure is enlarged. • If the scale factor is between 1 and 0, the figure is reduced in size. Scale factor > 1 0 < Scale Factor < 1

  10. Are the following enlarged or reduced?? C A Scale factor of 1.5 D Scale factor of 3 B Scale factor of 0.75 Scale factor of 1/5

  11. B’ C’ A’ B A C The Object and the Image • The original figure is called the objectand the new figure is called the image. • The object is labeled withletters. • The image may be labeled with the same lettersfollowed by theprime symbol. Image Object

  12. A ABC B C Let’s Try Some Dilations Graph 10 A’ Point A (3,4) Point B (3,2) Point c (5,2) A’(6,8) x2 8 6 x2 B’(6,4) C’ B’ 4 C’(10,4) x2 2 Now let’s dilate by scale factor 2!! 10 8 4 6 2 0

  13. If the figure below is dilated using a scale factor of what will be the coordinates of A’? A

  14. If the figure below is dilated using a scale factor of what will be the coordinates of A’? A

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