1. Chapter 3.1 Properties of Parallel Lines 2.0 Students write geometric proofs 4.0 Students prove basic theorems involving congruence 7.0 Students prove and use theorems involving the properties of parallel lines cut by a transversal

2. Vocabulary Transversal – a line that intersects two coplanar lines at two distinct points.

3. Vocabulary Interior angles – Angles that are in between the two lines cut by a transversal

4. Vocabulary Exterior angles – Angles that are outside the two lines cut by a transversal

5. Vocabulary Alternate interior angles

6. Vocabulary Alternate exterior angles

7. Vocabulary Corresponding Angles – angles that can “over- lap”

8. Vocabulary Same Side Interior Angles

9. Vocabulary Same Side Exterior Angles

10. Corresponding Angles Postulate If a transversal intersects two parallel lines, then corresponding angles are congruent

11. Alternate Interior Angles Theorem If a transversal intersects two parallel lines, then alternate interior angles are congruent

12. Same-Side Interior Angles Theorem If a transversal intersects two parallel lines, then same side interior angles are supplementary

13. Alternate Exterior Angles Theorem If a transversal intersects two parallel lines, then alternate exterior angles are congruent

14. Same-side Exterior Angles Theorem If a transversal intersects two parallel lines, then same side exterior angles are supplementary

15. Examples – interwrite activity Random problems with different theorems

16. Parallelogram Problem

17. Homework Pg 131 #1-7, 11-17, 23-25