Postulate 3.1: Corresponding Angles Postulate
![Picture](/uploads/1/3/5/3/13535944/804118844.gif)
Postulate 2.9: Segment Addition Postulate
![Picture](/uploads/1/3/5/3/13535944/384273944.jpg)
Postulate 2.11: Angle Addition Postulate
![Picture](/uploads/1/3/5/3/13535944/260427832.gif)
Theorem 3.1: Alternate Interior Angles Theorem
![Picture](/uploads/1/3/5/3/13535944/600033959.gif)
Theorem 3.2: Consecutive Interior Angles Theorem
![Picture](/uploads/1/3/5/3/13535944/885608824.gif)
Theorem 3.3: Alternate Exterior Angles Theorem
![Picture](/uploads/1/3/5/3/13535944/986720001.gif)
Theorem 3.4: Perpendicular Transversal Theorem
![Picture](/uploads/1/3/5/3/13535944/763326098.gif)
Postulate 3.5: Parallel Postulate
![Picture](/uploads/1/3/5/3/13535944/715507759.gif)
Theorem 3.9
![Picture](/uploads/1/3/5/3/13535944/137049690.png)
Theorem 4.1: Angle Sum Theorem
![Picture](/uploads/1/3/5/3/13535944/238398132.gif)
Theorem 4.2: Third Angle Theorem
![Picture](/uploads/1/3/5/3/13535944/909645314.png)
Theorem 4.3: Exterior Angle Theorem
![Picture](/uploads/1/3/5/3/13535944/1349241475.jpg)
Postulate 4.1: Side-Side-Side Congruence (SSS)
![Picture](/uploads/1/3/5/3/13535944/271935080.gif)
Postulate 4.2: Side-Angle-Side Congruence (SAS)
![Picture](/uploads/1/3/5/3/13535944/760514397.gif)
Postulate 4.3: Angle-Side-Angle Congruence (ASA)
![Picture](/uploads/1/3/5/3/13535944/590332240.gif)
Theorem 4.5: Angle-Angle-Side Congruence Theorem (AAS)
![Picture](/uploads/1/3/5/3/13535944/397662031.gif)
Theorem 4.6: Leg-Leg Congruence (LL)
![Picture](/uploads/1/3/5/3/13535944/347786486.jpg)
Theorem 4.7: Hypotenuse-Angle Congruence (HA)
![Picture](/uploads/1/3/5/3/13535944/713067936.jpg)
Theorem 4.8: Leg-Angle Congruence (LA)
![Picture](/uploads/1/3/5/3/13535944/773653654.jpg)
Postulate 4.4: Hypotenuse-Leg Congruence (HL)
![Picture](/uploads/1/3/5/3/13535944/734906835.gif)
Theorem 4.9: Isosceles Triangle Theorem
![Picture](/uploads/1/3/5/3/13535944/671578691.gif)
Theorem 4.10
![Picture](/uploads/1/3/5/3/13535944/391440514.png)
Theorem 5.1
![Picture](/uploads/1/3/5/3/13535944/1349244111.png)
Theorem 5.2
![Picture](/uploads/1/3/5/3/13535944/1349244160.png)
Theorem 5.3: Circumcenter Theorem
![Picture](/uploads/1/3/5/3/13535944/839087587.gif)
Theorem 5.6: Incenter Theorem
![Picture](/uploads/1/3/5/3/13535944/518887206.gif)
Theorem 5.7: Centroid Theorem
![Picture](/uploads/1/3/5/3/13535944/299690029.gif)
Theorem 5.8: Exterior Angle Inequality Theorem
![Picture](/uploads/1/3/5/3/13535944/597849799.gif)
Theorem 5.9:
![Picture](/uploads/1/3/5/3/13535944/1349244593.png)
Theorem 5.10:
![Picture](/uploads/1/3/5/3/13535944/1349244605.jpg)