## Chapter 3: Parallel lines, Angles, Triangles, Polygons

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Nuggets_Nation  on October 6, 2011

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# Chapter 3: Parallel lines, Angles, Triangles, Polygons

 Parallel LinesCoplanar, equidistant, non-intersecting lines
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#### Definitions

Parallel Lines Coplanar, equidistant, non-intersecting lines
Parallel Planes Equidistant, non-intersecting planes
Skew Lines Non-coplanar, non-intersecting lines
Transversal Line that intersects two or more lines in a plane at different points
Interior Angles Inside angles of two lines intersected by a transversal
Exterior Angles Outside angles of two lines intersected by a transversal
Alternate Interior Angles Inside angles of two line intersected by a transversal and on opposite sides of the transversal
Alternate Exterior Angles Outside angles of two lines intersected by a transversal and on opposite sides of the transversal
Same Side Interior Angles Inside angles of two lines intersected by a transversal and on the same side of the transversal
Corresponding Angles Pair of angles formed by two lines and a transversal consisting of an interior angle and an exterior angle that have different vertices and that lie on the same side of the transversal
Corresponding Angles Postulate Two parallel lines cut by a transversal create corresponding angles that are congruent.
Alternate Interior Angles Theorem Two parallel lines cut by a transversal create alternate interior angles that are congruent.
Same Side Interior Angles Theorem Two parallel lines cut by a transversal create consecutive interior angles that are supplementary.
Alternate Exterior Angles Theorem Two parallel lines cut by a transversal create alternate exterior angles that are congruent.

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