1. Bellwork: Recall the midpoint of any two endpoints to be .

2. 3.1 Pairs of lines and angles
We know that parallel lines never intersect because they have the same slope. Is the following Biconditional Statement true? If not, give a counterexample. Two lines never intersect iff they're parallel. Define and illustrate the following vocabulary terms (pg 126). Parallel Lines - Perpendicular Lines - Skew Lines - Parallel Planes -

3. 3.2 Parallel Lines and transversals
In mathematics a transversal is a line that intersects with at least two other lines.

4. 3.2 Parallel Lines and transversals
Corresponding Angles Theorem If two parallel lines Examples are cut by a transversal then the pairs of Corresponding Angles are congruent.

5. 3.2 Parallel Lines and transversals
Alternate Interior Angles Theorem If two parallel lines Examples are cut by a transversal then the pairs of Alternate Interior Angles are congruent.

6. 3.2 Parallel Lines and transversals
Alternate Exterior Angles Theorem  
If two parallel lines                   Examples 
are cut by a transversal 
then the pairs of 
Alternate Exterior 
Angles are congruent.

7. 3.2 Parallel Lines and transversals
Consecutive Interior Angles Theorem  
If two parallel lines                   Examples 
are cut by a transversal 
then the pairs of 
Consecutive Interior 
Angles are 
Supplementary.

8. 3.2 Parallel Lines and transversals
Learning Check  
Identify all the pairs of each angle type.
1) Corresponding Angles (There are 4 pair.)
2) Alt Int Angles (There are 2 pair.)
3) Alt Ext Angles (There are 2 pair.)
4) Consecutive Angles (There are 2 pair.)

9. 3.2 Parallel Lines and transversals
Learning Check Solutions  
Identify all the pairs of each angle type.
1) Corresponding Angles (There are 4 pair.)
<1 and <5              <2 and <6
<4 and <8              <3 and <7
2) Alt Int Angles (There are 2 pair.)
<4 and <6              <3 and <5
3) Alt Ext Angles (There are 2 pair.)
<2 and <8              <1 and <7
4) Consecutive Angles (There are 2 pair.)
<4 and <5              <3 and <6

10. 3.2 PARALLEL LINES AND TRANSVERSALS Day 2
Bellwork

11. 3.2 PARALLEL LINES AND TRANSVERSALS Day 2
From the diagram find the measure of the unknown labeled angles.  Given reasons for your solution.

12. 3.2 PARALLEL LINES AND TRANSVERSALS Day 2
From the diagram find the measure of the unknown labeled angles.  Given reasons for your solution.

13. 3.2 PARALLEL LINES AND TRANSVERSALS Day 2
From the diagram find the measure of the unknown labeled angles.  Given reasons for your solution.

14. 3.2 PARALLEL LINES AND TRANSVERSALS Day 2
From the diagram find the measure of the unknown labeled angles.  Given reasons for your solution.

15. 3.2 PARALLEL LINES AND TRANSVERSALS Day 2
From the diagram find the measure of the unknown labeled angles.  Given reasons for your solution.