1 / 7

Triangle Similarity Theorems: Proving AA, SSS, and SAS Similarity

Understand AA, SSS, and SAS similarity theorems to prove when triangles are similar based on angle-angle, side-side-side, or side-angle-side conditions. Examples and solutions included.

twanna
Download Presentation

Triangle Similarity Theorems: Proving AA, SSS, and SAS Similarity

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. Proving Triangles Similar (AA, SSS, SAS)

  2. AA Similarity (Angle-Angle) If 2 angles of one triangle are congruent to 2 angles of another triangle, then the triangles are similar. Given: and Conclusion:

  3. 5 10 16 8 11 22 SSS Similarity (Side-Side-Side) If the measures of the corresponding sides of 2 triangles are proportional, then the triangles are similar. Given: Conclusion:

  4. 5 10 11 22 SAS Similarity (Side-Angle-Side) If the measures of 2 sides of a triangle are proportional to the measures of 2 corresponding sides of another triangle and the angles between them are congruent, then the triangles are similar. Given: Conclusion:

  5. G D C E F Example: Show that the two triangles are similar. 1. 2.

  6. Example: Which triangle is similar to triangle XYZ? Q 35 21 Y 20 P 15 R 30 X Z 30 42 U S 21 35 T

  7. Example: Find the value of x that makes triangle XYZ similar to triangle PQR Q Y 20 x+6 30 21 X Z 12 P R 3(x - 2)

More Related