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.

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Presentation transcript:

1.Name the relationship between  3 and  m  3 = ____ 3. Name the relationship between  9 and  m  10 = ____ Warm Up: l n m Given: m  1 = 62° m  9 = 90°

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

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

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

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

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 < : Parallel Lines & Transversals

Examples: <1 and <7, <2 and < Alternate Exterior Angles: angles on opposite sides of the transversal that are both exterior : Parallel Lines & Transversals

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

Examples: <3 and <6, <4 and < Consecutive Interior Angles: angles on the same side of the transversal, both interior : Parallel Lines & Transversals

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

Find: corresponding angles consecutive interior angles alternate exterior angles alternate interior angles a c b NEXT TRANSVERSAL!

Exit Slip: Name a pair of… 1. corresponding angles 2. consecutive interior angles 3. alternate exterior angles 4. alternate interior angles a c b LAST TRANSVERSAL!

Geometry Homework: p #21-30, 38-40, 55, 56

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