1 / 8

Understanding Similar Polygons in Mathematics

Learn about similar polygons, corresponding angles, sides, and scale factors. Discover how to identify and find missing measures in similar figures using proportions in this informative section.

vgrover
Download Presentation

Understanding Similar Polygons in Mathematics

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. Similar Polygons Section 4-5

  2. A I H J K L B C A simple, closed figure formed by three or more line segments is called a polygon.

  3. B C X Y W Z A D Polygon ABCD ~ Polygon WXYZ Polygons that have the same shape are called similar polygons.

  4. B C X Y W Z A D Corresponding Angles <A -- <W <B -- <X <C -- <Y <D -- <Z Corresponding Sides AB – WX BC – XY CD – YZ DA -- ZW The parts of similar figures that “match” are called corresponding parts.

  5. A L ABC ~ LMN C B N M • If two polygons are similar, then: • Their corresponding angles are congruent, or have the same measure • Their corresponding sides are proportional.

  6. A L 7 7 14 14 C B N M 5 10 AC 7 = LN 14 AB 7 = LM 14 BC 5 = MN 10 • How to identify if polygons are similar: • Check to see if corresponding angles and sides are congruent (Use a proportion).

  7. A B E F 6 3 G C H D The scale factor from square ABCD to square EFGH is 6/3 or 2. The scale factor from square EFGH to square ABCD is 3/6 or ½. The ratio of lengths of two corresponding sides of two similar polygons is called the scale factor.

  8. A B E F 15 10 m 12 G C H D The scale factor from square ABCD to square EFGH is FG/BC 10/15 or 2/3. 12 2 = M 3 12(3) = m(2) 36 = 2m 18 = m • How to find missing measures of similar polygons: • Create a proportion and cross multiply.

More Related