University:
Missouri State University
Course:
MTH 460 | College Geometry
Academic year:

2022
Views:

359

Pages:

5
Author:

Harrison Montoya

Today's objectives: 1. Use the SAS and SSS Similarity Theorems to justify why triangles are similar. 2. Continue to use properties of similar triangles to find missing sides and angles in pictures with more complexity. Geometry Trigonometry II Name 7.5 Theorems for Similar Triangles "You can always show that two triangles are similar by using the definition of similar polygons or the AA Postulate. Below are two other ways to prove that two triangles are similar. Theorem 7-1 SAS Similarity Theorem - If an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are proportional, then the triangles are similar. Theorem 7-2 SSS Similarity Theorem If the sides of two triangles are in proportion, then the triangles are similar. 4 ما C E B 3 12 D If AB 14 F 9 BC AC DE EF then DF AABC~A DEF 4-3 12 6 18 = Examples: → you can't say Not ~" Name the similar triangles and give the postulate or theorem that justifies your answer. A 1. DADE NAABC by AA D/80 80° B E C No length AA OR Not~