3.1 Parallel Lines and Transversals Then: You used angle and line segment relationships to prove...
-
Upload
bernadette-mcgee -
Category
Documents
-
view
228 -
download
5
Transcript of 3.1 Parallel Lines and Transversals Then: You used angle and line segment relationships to prove...
![Page 1: 3.1 Parallel Lines and Transversals Then: You used angle and line segment relationships to prove theorems. Now: 1. Identify relationships between two lines.](https://reader034.fdocuments.us/reader034/viewer/2022042522/56649f1c5503460f94c329a7/html5/thumbnails/1.jpg)
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.
http://www.quia.com/files/quia/users/aaronportengagh/PerceptInterpret/Ames-Room.gif
![Page 2: 3.1 Parallel Lines and Transversals Then: You used angle and line segment relationships to prove theorems. Now: 1. Identify relationships between two lines.](https://reader034.fdocuments.us/reader034/viewer/2022042522/56649f1c5503460f94c329a7/html5/thumbnails/2.jpg)
Vocabulary #1-31. Parallel Lines 2. Skew Lines
3. Parallel Planes
3. Parallel Planes
http://4.bp.blogspot.com/-Z7UsdV9Fc-Q/TaidYL3O0AI/AAAAAAAAAQM/T2zevz65his/s1600/photo.JPG
http://image.wistatutor.com/content/feed/u857/parallel%20planes.JPG http://www.mathwarehouse.com/geometry/angle/images/transversal/transversal.jpg
![Page 3: 3.1 Parallel Lines and Transversals Then: You used angle and line segment relationships to prove theorems. Now: 1. Identify relationships between two lines.](https://reader034.fdocuments.us/reader034/viewer/2022042522/56649f1c5503460f94c329a7/html5/thumbnails/3.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.
![Page 4: 3.1 Parallel Lines and Transversals Then: You used angle and line segment relationships to prove theorems. Now: 1. Identify relationships between two lines.](https://reader034.fdocuments.us/reader034/viewer/2022042522/56649f1c5503460f94c329a7/html5/thumbnails/4.jpg)
Checkpoint 1:
![Page 5: 3.1 Parallel Lines and Transversals Then: You used angle and line segment relationships to prove theorems. Now: 1. Identify relationships between two lines.](https://reader034.fdocuments.us/reader034/viewer/2022042522/56649f1c5503460f94c329a7/html5/thumbnails/5.jpg)
Vocabulary #4Transversal
http://assets.usta.com/assets/1/25/GalleryMainDimensionId/DSCN1772.JPGhttp://assets.usta.com/assets/1/25/GalleryMainDimensionId/DSCN1772.JPG
![Page 6: 3.1 Parallel Lines and Transversals Then: You used angle and line segment relationships to prove theorems. Now: 1. Identify relationships between two lines.](https://reader034.fdocuments.us/reader034/viewer/2022042522/56649f1c5503460f94c329a7/html5/thumbnails/6.jpg)
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
![Page 7: 3.1 Parallel Lines and Transversals Then: You used angle and line segment relationships to prove theorems. Now: 1. Identify relationships between two lines.](https://reader034.fdocuments.us/reader034/viewer/2022042522/56649f1c5503460f94c329a7/html5/thumbnails/7.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
![Page 8: 3.1 Parallel Lines and Transversals Then: You used angle and line segment relationships to prove theorems. Now: 1. Identify relationships between two lines.](https://reader034.fdocuments.us/reader034/viewer/2022042522/56649f1c5503460f94c329a7/html5/thumbnails/8.jpg)
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
![Page 9: 3.1 Parallel Lines and Transversals Then: You used angle and line segment relationships to prove theorems. Now: 1. Identify relationships between two lines.](https://reader034.fdocuments.us/reader034/viewer/2022042522/56649f1c5503460f94c329a7/html5/thumbnails/9.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
![Page 10: 3.1 Parallel Lines and Transversals Then: You used angle and line segment relationships to prove theorems. Now: 1. Identify relationships between two lines.](https://reader034.fdocuments.us/reader034/viewer/2022042522/56649f1c5503460f94c329a7/html5/thumbnails/10.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
![Page 11: 3.1 Parallel Lines and Transversals Then: You used angle and line segment relationships to prove theorems. Now: 1. Identify relationships between two lines.](https://reader034.fdocuments.us/reader034/viewer/2022042522/56649f1c5503460f94c329a7/html5/thumbnails/11.jpg)
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
![Page 12: 3.1 Parallel Lines and Transversals Then: You used angle and line segment relationships to prove theorems. Now: 1. Identify relationships between two lines.](https://reader034.fdocuments.us/reader034/viewer/2022042522/56649f1c5503460f94c329a7/html5/thumbnails/12.jpg)
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
http://classconnection.s3.amazonaws.com/705/flashcards/1085705/jpg/screenhunter_01_feb._06_13.231328642468930.jpg
![Page 13: 3.1 Parallel Lines and Transversals Then: You used angle and line segment relationships to prove theorems. Now: 1. Identify relationships between two lines.](https://reader034.fdocuments.us/reader034/viewer/2022042522/56649f1c5503460f94c329a7/html5/thumbnails/13.jpg)
3.1 Assignment:p. 176-178#14-44 evens, 51-53, 55, 56, 59, 60