3.1 parallel lines and transversals then: you used angle and line segment relationships to prove...
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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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http://image.wistatutor.com/content/feed/u857/parallel%20planes.JPG http://www.mathwarehouse.com/geometry/angle/images/transversal/transversal.jpg
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
http://www.mathwarehouse.com/geometry/angle/images/transversal/angles/alternate-interior-angles.jpg
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:
http://chb-returns.wikispaces.com/file/view/doric_columns.jpg/193713580/doric_columns.jpg
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:
http://doors-sliding.com/doors-sliding-images/upvc-windows.htmlhttp://images.tutorvista.com/cms/images/39/corresponding-angles.png
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