Chapter 11

​Relationships between lines:

​Parallel Lines: Lines are parallel if they do not intersect and are moving in the exact same directions. Note: lines extend forever, even if they don't touch in the picture they may touch on their extensions.

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Skew Lines: Two lines that do not intersect but do not move in the same direction are skew. They will be on different planes.​

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Angle Relationships:

When two lines are cut by a transversal it creates certain pairs of angles. When these two lines are parallel, then these pairs of angles will be equal (or supplementary).​

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Angle Relationships

​Same Side Interior:

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Same Side Exterior:

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Alternate Interior:

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Alternate Exterior:​

​Ex: Solve for x

​Ex: Solve for x and y

Triangle Angle Names:

Interior Angles: Interior angles are all of the angles inside of a triangle. All of the Interior angles on a triangle sum to 180 degrees.

Exterior Angles: Exterior angles of triangles are the result of extending a vertex of a triangle. An Exterior angle and it's Interior angle pair sum to 180 degrees.

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Note: Angles b and a are remote

interior angles of angle d.

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​Ex: Find the remaining angle measures:

​Ex: Solve for angles 1 and 2