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

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 -

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

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.

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.

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.

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.

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.)

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

3.2 PARALLEL LINES AND TRANSVERSALS Day 2 Bellwork

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

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

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

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

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