A Parallel Lines and Transversalspp.pptx

A PowerPoint presentation about parallel and transverse angles

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.