1. (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. Conclusion: andGiven:

3. SSS Similarity (Side-Side-Side) If the measures of the corresponding sides of 2 triangles are proportional, then the triangles are similar. Given: Conclusion: 5 11 22 8 1610

4. 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 11 22 10

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

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

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