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# geo.Lines and angles

### lines/angles postulates and theorems

skew lines lines that do not intersect and are not parallel
parallel postulate only 1 line exists that can be drawn through a point and parallel to a specific line
perpendicular postulate only 1 line exists that can be drawn through a point and perpendicular to a specific line
transversal any line that intersects 2 or more lines
corresponding angles postualte angels in the same positions- correspond to each other are congruent
alternate interior angles theorem if 2 parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent
consecutive interior angles theorem if 2 parallel lines are cur by a transversal then the pairs of consecutive interior angles are supplementary
alternate exterior angles if 2 lines are cut by a transversal then the pairs if alternate exterior angles are congruent
perpendicular transversal if a transversal is perpendicular to 1 out of 2 parallel lines, then it is perpendicular to the other
corresponding angles converse if 2 lines are cut by a transversal so that corresponding anglews are congruent, then the lines are parallel
alternate interior angles converse if 2 lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel
consecutive interior angles converse if a transversal cuts 2 lines so that the consecutive interior angles are supplementary, then the lines are parallel
alternate exterior angles converse if a transversal cuts 2 lines so that the alternate exterior angles are congruent then the lines are parallel
Created by: 059608