1. 2-2 Proving lines Parallel
Homework:
Gain your enemies’ trust, and then destroy them

2. In this Chapter I can…
2-1: determine angle measurements from parallel lines cut by a transversal
2-2: use angle relationships to prove that lines are parallel
2-3: use interior and exterior angles of triangles to solve problems
2-4: calculate the slope of parallel and perpendicular lines

3. Prove alternate Exterior angles
Given: m ll n
Prove: <1≅<2
Statement Proof 1) m ll n 1) Given 2) <1≅<3 2) Corresponding Angles 3) <3≅<2 3) Vertical Angles 4) <1≅<2 4) Transitive Property 1 m 3 n 2

4. Prove Lines are parallel
Given: <1≅<2
Prove: m ll n
Statement Proof 1) <1≅<2 1) Given 2) <1≅<3 2) Vertical Angles 3) <3≅<2 3) Transitive Property 4) m ll n 4) Converse of Corresponding Angles 3 m 1 2 n

5. Prove Lines are parallel
Given: <1+<2=180
Prove: m ll n
Statement Proof 1) <1+<2=180 1) Given 2) <1+<3=180 2) Linear Pair 3) <1+<2=<1+<3 3) Transitive Property 4) <2=<3 4) Subtraction 5) m ll n 5) Converse of Corresponding Angles 3 m 1 2 n