3.1 Parallel Lines and Transversals Then: You used angle and line segment relationships to prove theorems. Now: 1. Identify relationships between two lines.

3.1 Parallel Lines and TransversalsThen: You used angle and line segment relationships to

prove theorems.Now: 1. Identify relationships between two lines or

planes. 2. Name angle pairs formed by parallel lines and transversals.

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Vocabulary #1-31. Parallel Lines 2. Skew Lines

3. Parallel Planes

3. Parallel Planes

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Example 1:Identify each of the following using the box.a. All segments parallel to BC.

b. A segment skew to EH.

c. A plane parallel to plane ABG.

Checkpoint 1:

Vocabulary #4Transversal

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Transversal Angle Pair Relationships5. Interior Angles 6. Exterior Angles

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http://www.mathwarehouse.com/geometry/angle/images/transversal/angles/alternate-exterior-angles.jpg

Transversal Angle Pair Relationships7. Two angles are consecutive interior angles

if they lie between the two lines and on the same side of the transversal.For example:

http://mrwadeturner.pbworks.com/f/1275010947/glossary_co-interior_angles.gif

Transversal Angle Pair Relationships

8. Two angles are alternate interior angles if they lie between the two lines and on opposite sides of the transversal.For example:

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Transversal Angle Pair Relationships

9. Two angles are alternate exterior angles if they lie outside the two lines and on opposite sides of the transversal.For example:

http://www.gatesnfences.com/sitebuilder/images/Pedals_of_Security-Wrought-Iron-Fence-Ornamental-Residential-Wrought-Iron-Fence-450x300.jpg

Transversal Angle Pair Relationships10. Two angles are corresponding angles if

they have corresponding positions.For example:

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Example 2:Classify the relationship between each pair of

angles as alternate interior, alternate exterior, corresponding or consecutive interior angles.

a. 1 & 5

b. 1 & 8

c. 4 & 5

d. 2 & 7

e. 4 & 6

Example 3:

Identify the transversal connecting each pair of angles. Classify the relationship between each pair of angles as alternate interior, alternate exterior, corresponding or consecutive interior angles.a. 10 & 5

b. 4 & 15

c. 2 & 6

d. 16 & 9

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3.1 Assignment:p. 176-178#14-44 evens, 51-53, 55, 56, 59, 60