1. Objective: To use AA, SAS and SSS similarity statements.
Chapter 8 Lesson 3
Objective: To use AA, SAS and SSS similarity statements.

2. Angle-Angle Similarity (AA ~) Postulate
                                                                                   If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
∆TRS ~ ∆PLM

3. Example 1: Using the AA~ Postulate
Explain why the triangles are similar. Write a similarity statement.
                                                                                                
RSW        VSB because vertical angles are congruent.  R     V because their measures are equal. ∆RSW ~ ∆VSB by the Angle-Angle Similarity Postulate.

4. Example 2: Using the AA~ Postulate
Explain why the triangles are similar. Write a similarity statement.
                                                                                                 B X A K M
58°
∆AMX~∆BKX by AA~ Postulate

5. Side-Angle-Side Similarity (SAS ~) Theorem
If an angle of one triangle is congruent to an angle of a second triangle, and the sides including the two angles are proportional, then the triangles are similar.
Theorem 8-2  
Side-Side-Side Similarity (SSS ~) Theorem
If the corresponding sides of two triangles are proportional, then the triangles are similar.

6. Example 3: Using Similarity Theorems
                                                                                    Explain why the triangles must be similar. Write a similarity statement.
QRP     XYZ because they are right angles.
Therefore, ∆QRP ~ ∆XYZ by the SAS ~ Theorem

7. Example 4: Using Similarity Theorems
Explain why the triangles must be similar. Write a similarity statement.                 
∆ABC ~ ∆EFG by SSS~ Theorem

8. Assignment
Pg. 435
#1-9, 22, 24-27