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Name: Period: _____ Date: _________________ 3.1 Parallel Lines and Transversals Vocabulary: Parallel Lines: coplanar lines that do not intersect Skew Lines: lines that do not intersect and are not coplanar Parallel Planes: planes that do not intersect Transversal: A line that intersects two or more lines in a plane at different points How are Skew lines and Parallel lines alike? How are they different? a) b) c) d) Parallel Postulate: If there is a line and a point not on the line, then Perpendicular Postulate: If there is a line and a point not on the line, then Angle Pair Four interior angles lie in the region between lines and Four exterior angles lie in the two regions that are not between lines and Consecutive interior angles are interior angles that lie on the same side of transversal Alternate interior angles are nonadjacent interior angles that lie on opposite sides of transversal Alternate exterior angles are nonadjacent exterior angles that lie on opposite sides of transversal Corresponding angles lie on the same side of transversal and on the same side of lines and Corresponding Angles: Alternate Exterior Angles: Alternate Interior Angles: Consecutive Interior Angles: HOMEWORK: page 176 #13-30 Example Picture