1. Proving Triangles are Similar
Lesson 8.5
Proving Triangles are Similar

2. Lesson 8.5 Objectives
Prove triangles are similar using the SSS Similarity Theorem
Prove Triangles are similar using the SAS Similarity Theorem
Utilize properties of similar triangles

3. Theorem 8.2: Side-Side-Side Similarity
If the corresponding sides of two triangles are proportional, then the triangles are similar.
Your job is to verify that all corresponding sides fit the same exact ratio! 10 6 5 3

4. Theorem 8.3: Side-Angle-Side Similarity
If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar.
Your task is to verify that two sides fit the same exact ratio and the angles between those two sides are congruent! 10 6 5 3

5. Using Theorems 8.2 and 8.3
These theorems share the abbreviations with those from proving triangles congruent in chapter 4.
SSS
SAS
So you now must be more specific
SSS Congruence
SSS Similarity
SAS Congruence
SAS Similarity
You chose based on what are you trying to show?
Congruence
Similarity