9 5 dilations n.
Download
Skip this Video
Loading SlideShow in 5 Seconds..
9.5 Dilations PowerPoint Presentation
Download Presentation
9.5 Dilations

Loading in 2 Seconds...

play fullscreen
1 / 21

9.5 Dilations - PowerPoint PPT Presentation


  • 72 Views
  • Uploaded on

9.5 Dilations. Brett Solberg AHS ‘11-’12. Warm-up. Draw all the lines of symmetry. What is the angle of rotation? 1 2 3 . Today’s Agenda. Warm-up/HW Review Chapter 9 Review 9.5 Dilations Scale Factor enlargement reduction. Announcements. Today Review 9.5 Next Class

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about '9.5 Dilations' - tieve


Download Now 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.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
9 5 dilations

9.5 Dilations

Brett Solberg AHS ‘11-’12

warm up
Warm-up
  • Draw all the lines of symmetry. What is the angle of rotation?
  • 1 2 3
today s agenda
Today’s Agenda
  • Warm-up/HW Review
  • Chapter 9 Review
  • 9.5 Dilations
    • Scale Factor
      • enlargement
      • reduction
announcements
Announcements
  • Today
    • Review
    • 9.5
  • Next Class
    • Test
  • Homework
    • Worksheet Packet
    • 9.2 Graphing Packet
    • Review Worksheet
transformations
Transformations
  • Translations (slide)
    • rule of (4, -5)
  • Reflections (flip)
    • x-axis (x, y) → (x, -y)
    • y-axis (x, y) → (-x, y)
    • line
rotations
Rotations
  • Center of Rotation
    • protractor
    • compass
  • Rotating about Origin
    • 90˚ clockwise (x, y) → (y, -x)
    • 90˚ counterclockwise (x, y) → (-y, x)
    • 180˚ either way (x, y) → (-x, -y)
rotation
Rotation
  • Rotate 90˚, 180˚, 270˚
symmetry
Symmetry
  • Reflection Symmetry
    • lines of symmetry
  • Rotational Symmetry
    • angle of rotation
dilation
Dilation
  • A dilation is a transformation whose image and preimage are similar.
dilation1
Dilation
  • Eyes Dilating
  • Scale Models
vocabulary
Vocabulary
  • Scale Factor – determines the size change from the original figure to its image.
  • The dilation is an if the scale factor is greater than 1.
  • The dilation is a if the scale factor is between 0 and 1.

enlargement

reduction

example 1
Example 1
  • Find the scale factor. The red square is the dilation of the blue square.

4

4

2

2

example 3
Example 3
  • Scale Factor = 2
willis tower
Willis Tower
  • Built in 1974, originally called the Sears tower.
  • Stands at 1451ft (442m)
  • Was the world’s tallest building for 25 years
  • Currently the tallest building in USA.
willis tower1
Willis Tower
  • The ratio of height to width is 6.45:1.
  • The building is 1451 ft tall. What is the width?
solving proportions
Solving Proportions

The ratio of height to width is 6.45:1

If the width of the model is 3 ft, and the model is similar to the actual tower, how tall is the model?

jaguar proportion

Actual Dimensions

    • width 75 inches
    • length 189 inches
  • Model dimensions
    • width 7 inches
    • length 20 inches
  • Does a dilation occur?
Jaguar Proportion
assignments
Assignments
  • Assignments
    • Worksheet Packet (50 points)
    • 9.2 Graphing Packet (10 points)
    • Review Worksheet (10 Points)
    • Warm-ups (10 points)
  • Extra Credit Opportunities
    • pg523 #1 - 29
    • Poster
      • translation
      • reflection
      • rotation
      • dilation