1. Journal Ch. 3 Sergio Rivera M2

2. _____(0-10 pts) Describe parallel lines and parallel planes. Include a discussion of skew lines. Give at least 3 examples. _____(0-10 pts) Describe what a transversal is. Give at least 3 examples. _____(0-10 pts) Describe the following angles: Corresponding, alternate exterior, alternate interior and consecutive interior angles. Give an example of each. _____(0-10 pts) Describe the corresponding angles postulate and converse. Give at least 3 examples of each. _____(0-10 pts) Describe the alternate interior angles theorem and converse. Give at least 3 examples of each. _____(0-10 pts) Describe the Same Side interior angles theorem and converse. Give at least 3 examples of each. _____(0-10 pts) Describe the alternate exterior angles theorem and converse. Give at least 3 examples of each. _____(0-10 pts) Describe the perpendicular transversal theorems. Give at least 3 examples. _____(0-10 pts) Describe how the transitive property also applies to parallel and perpendicular lines. Include a discussion about the perpendicular line theorems. Give at least 2 examples of each. _____(0-10 pts) Describe how to find the slope of a line. How is slope related to parallel and perpendicular lines. Give at least 3 examples of each. _____(0-10 pts) Describe how to write an equation of a line in slope/intercept form, and in Point/Slope form. Explain when you would want to use each form of a line. Give at least 3 examples of each.

3. Parallel lines and planes Parallel lines are lines that have the same slope and never cross. Parallel planes are planes that have same slope but different y-intercept.

4. Transversal It is a line that intersects coplanar lines in different points.

5. Angles in a Transversal line 1 Corresponding: angles in the same side with opposite measure. 4,8 2 Alternate exterior: angles in completely other side. 1,7 3 Alternate interior: nonadjacent angles in other side. 6,4 4 Consecutive interior: angles in same line, inside transversal 3,6

6. Corresponding Angles Postulate If parallel lines are cut by a transversal, the two corresponding angles are ≈ 56º xº x=56º xº 87º 65º x=87º x=65º

7. Alternate Interior Angle Theorem If parallel lines are cut by transversal then alternate interior angles are ≈. xº 32º 45º 76º x=76º x=32º x=45º

8. Same-Side interior Angles Theorem. A transversal line meaning that same- side interior angles are ≈. xº 56º 34º 43º x=43º x=56º x=34º

9. Alternate Exterior Angles Theorem A transversal line that makes two alternate exterior angles ≈. xº 138º 145º 76 x=76º x=145º x=138º