dilations similarity n.
Skip this Video
Loading SlideShow in 5 Seconds..
Dilations & Similarity PowerPoint Presentation
Download Presentation
Dilations & Similarity

Loading in 2 Seconds...

play fullscreen
1 / 9

Dilations & Similarity - PowerPoint PPT Presentation

  • Uploaded on

Dilations & Similarity. Dilations Review. expansion. contraction. similar triangle. c ongruent angle. If the scale factor of a dilation is greater than 1, then it is a(n) ___________. If the scale factor of a dilation is less than 1, then it is a(n) ______________.

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

PowerPoint Slideshow about 'Dilations & Similarity' - jerom

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
dilations review
Dilations Review



similar triangle

congruent angle

If the scale factor of a dilation is greater than 1, then it is a(n) ___________.

If the scale factor of a dilation is less than 1, then it is a(n) ______________.

A dilation maps any triangle to a _______________________.

A dilation maps an angle to a ____________________.

scale factor
Scale Factor

How do you find the scale factor?

  • image/preimage
  • 4/6 = 2/3
  • Since the dilation is a contraction , the scale factor is a fraction. Ha!
extra info
Extra Info

Can a dilation be an isometry?

..only when the scale factor is equal to 1

In a dilation, the preimage and image are similar.

For this reason, a dilation is an example of similarity mapping.

what do you think these mean
What do you think these mean?

A dilation D(n,C) maps any segment to a parallel segment times as long.

A dilation takes a line not passing through the center of the dilation to a parallel line and leaves a line passing through the center unchanged.

dilation of a rectangle
Dilation of a Rectangle

If the scale factor is 2, what do you think the relationship would be between the perimeters and the areas of the rectangles?

dilation of a rectangle1
Dilation of a Rectangle

Draw a dilation of a rectangle ABCD with vertices A(1,1), B(3,1), C(3,2) and D(1,2). Use the origin as the center and use a scale factor of 2.

dilation of a rectangle2
Dilation of a Rectangle

6:12 or 1:2

2:8 or 1:4

A dilation D(n,C) maps any polygon to a similar polygon whose area is n2 times as large.

What is the ratio of the perimeters?

What is the ratio of the areas?


OLD TEXTBOOK!!!!!!!!!!!!!!! Page 596 (2-14 even, 18-22 even)