1 / 13

Understanding Similar Polygons in Geometry

Learn about similar polygons, their properties and how to determine whether polygons are similar. Explore examples of using similarity statements and finding scale factors. Also, discover how to use similar polygons to solve problems involving ratios and perimeters.

karriet
Download Presentation

Understanding Similar Polygons in Geometry

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. Chapter 7 Similarity

  2. Section 2Similar Polygons

  3. In geometry, two figures that have the same shape are called similar. Two polygons are similar polygons if corresponding angles are congruent and corresponding side lengths are proportional. In the diagram, ABCD is similar to EFGH. The symbol ∼ indicates similarity. So, you can write ABCD ∼ EFGH. When you refer to similar polygons, list their corresponding vertices in the same order.

  4. Example 1: Use Similarity Statements ∆PRQ ∼ ∆STU • List all pairs of congruent angles. • Write the ratios of the corresponding sides in a statement of proportionality. • Check that the ratios of corresponding sides are equal.

  5. Example 2: Determine Whether Polygons are Similar Determine whether the triangles are similar. If they are similar, write a similarity statement and find the scale factor of Figure B to Figure A.

  6. Checkpoint: Determine Whether Polygons are Similar Determine whether the polygons are similar. If they are similar, write a similarity statement and find the scale factor of Figure B to Figure A.

  7. Example 3: Use Similar Polygons ∆RST ∼ ∆GHJ. Find the value of x.

  8. Example 4: Perimeters of Similar Polygons The outlines of a pool and the patio around the pool are similar rectangles. • Find the ratio of the length of the patio to the length of the pool. • Find the ratio of the perimeter of the patio to the perimeter of the pool.

  9. Checkpoint: Use Similar Polygons In the diagram, ∆PQR ∼ ∆STU. • Find the value of x. • Find the ratio of the perimeter of ∆STU to the perimeter of ∆PQR.

  10. EXIT SLIP

More Related