7 2 similar polygons
This presentation is the property of its rightful owner.
Sponsored Links
1 / 12

7-2 Similar Polygons PowerPoint PPT Presentation


  • 52 Views
  • Uploaded on
  • Presentation posted in: General

7-2 Similar Polygons. Similarity. Similar figures have the same shape but not necessarily the same size. The ~ symbol means “is similar to”

Download Presentation

7-2 Similar Polygons

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


7 2 similar polygons

7-2 Similar Polygons


Similarity

Similarity

  • Similar figures have the same shape but not necessarily the same size.

    • The ~ symbol means “is similar to”

  • Two polygons are similar polygons if corresponding angles are congruent and if the lengths of corresponding sides are proportional.

  • When three or more ratios are equal, you can write an extended proportion.


Understanding similarity

Understanding Similarity

MNP ~ SRT

  • What are the pairs of congruent angles?

  • What is the extended proportion for the ratios of corresponding sides?


Defg hjkl

DEFG ~ HJKL

  • What are the pairs of congruent angles?

  • What is the extended proportion for the ratios of the lengths of corresponding sides?


Scale factor

Scale Factor

  • A scale factor is the ratio of corresponding linear measurements of two similar figures.

    • The ratio of corresponding sides is , so the scale factor of ABC to XYZ is or 5 : 2.


Determining similarity

Determining Similarity

  • Are the polygons similar? If they are, write a similarity statement and give the scale factor.


Are the polygons similar if they are write a similarity statement and give the scale factor

 Are the polygons similar? If they are, write a similarity statement and give the scale factor.


Using similar polygons

Using Similar Polygons

  • ABCD ~ EFGD. What is the value of x?

     What is the value of y?


Using similarity

Using Similarity

  • In the diagram, Find SR.


In the diagram find ce

 In the diagram, Find CE.


Scales

Scales

  • In a scale drawing, all lengths are proportional to their corresponding actual lengths.

  • The scale is the ratio that compares each length in the scale drawing to the actual length.

    • The lengths used in a scale can be in different units (ex. 1 cm = 50 km).

  • You can use proportions to find the actual dimensions represented in a scale drawing.


Using a scale drawing

Using a Scale Drawing

  • The diagram shows a scale drawing of the Golden Gate Bridge. If the length between the two towers in the diagram is 6.4 cm, what is the length of the actual bridge?

    If the tower measures 0.8 cm in the diagram, what is the actual height of the tower?


  • Login