1. 1.Name the relationship between  3 and  1. 2. m  3 = ____ 3. Name the relationship between  9 and  10. 4. m  10 = ____ Warm Up: 1 3 4 5 2 6 8 7 l n m 9 12 11 10 Given: m  1 = 62° m  9 = 90°

2. 3.1: Parallel Lines & Transversals Objectives: 1.Identify the relationships of lines 2.Identify angles formed by transversals Vocabulary: Parallel, perpendicular, skew, transversal, corresponding angles, alternate exterior angles, alternate interior angles, consecutive interior angles

3. Vocabulary : Parallel: extends indefinitely and never intersect What can be parallel? - parallel lines Real Life Ex: Sides of the road - parallel planes Real Life Ex: Floor and Ceiling 3.1: Parallel Lines & Transversals

4. Vocabulary : Perpendicular: two lines that intersect to form right angles. Real Life Ex: sides of the board Transversal: a line that intersects two or more lines in the same plane at different points. Real Life Ex: railroad tracks crossing the road Skew: Lines in different planes that do not intersect Real Life Ex: road and tree 3.1: Parallel Lines & Transversals

5. 1 2 4 3 5 6 87 Which line is a transversal? a b n Angle Types: Interior: 3, 4, 5, 6 Exterior: 1, 2, 7, 8

6. Corresponding Angles: angles that occupy corresponding positions. Same side of transversal, one on the interior and one on the exterior. Examples: <1 and < 5, <2 and <6, <3 and <7, <4 and <8 1 2 4 3 5 8 7 6 1 2 4 5 7 6 3 8 3.1: Parallel Lines & Transversals

7. Examples: <1 and <7, <2 and <8 12 4 3 5 8 7 6 Alternate Exterior Angles: angles on opposite sides of the transversal that are both exterior 1 2 78 3.1: Parallel Lines & Transversals

8. Examples: <3 and <5, <4 and <6 12 4 3 5 8 7 6 Alternate Interior Angles: angles on opposite sides of the transversal that are both interior 5 6 3 4 3.1: Parallel Lines & Transversals

9. Examples: <3 and <6, <4 and <5 12 4 3 5 8 7 6 Consecutive Interior Angles: angles on the same side of the transversal, both interior 5 6 4 3 3.1: Parallel Lines & Transversals

10. 1 3 4 2 What is the relationship between….. <1 and <9? <3 and <10? <2 and <12? <4 and <10? a b 9 12 11 10 Find the transversal first!! c

11. 1 3 4 5 2 6 8 7 Find: corresponding angles consecutive interior angles alternate exterior angles alternate interior angles a c b 9 12 11 10 NEXT TRANSVERSAL!

12. 1 3 4 5 2 6 8 7 Exit Slip: Name a pair of… 1. corresponding angles 2. consecutive interior angles 3. alternate exterior angles 4. alternate interior angles a c b 9 12 11 10 LAST TRANSVERSAL!

13. Geometry Homework: p.176-178 #21-30, 38-40, 55, 56