1. Z
Warm Up W 12
7.5 U 5 V X Y 6
XYZ
5/6 10 9
100

2. Proving Triangles
Similar

3. Angle-Angle (AA~) Similarity Postulate
If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar. D A E F B C

4. Side-Side-Side (SSS~) Similarity THM
If the corresponding sides of two triangles are proportional, then the triangles are similar. D A E F B C

5. Side-Angle-Side (SAS~) Similarity THM
If the lengths of two sides are proportional and the included angle is congruent, then the triangles are similar D A F E B C

6. Ex. Determine whether the triangles are similar
Ex. Determine whether the triangles are similar. If so, tell which similarity test is used and complete the statement.
Yes, AA~ M G
68°
43°
68°
43° H F L K V NO Y 7 3 5 Z X W 11 U

7. SAS~ 12 4 5 15 Prove that RST~ PSQ 1. Two sides are proportional
2. Included angle is congruent
SAS~ R S T P Q 12 4 5 15