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Postulate 3.1 "Corresponding Angles Postulate" (HW Postulate 10) If 2 parallel lines are cut by a transversal, then corresponding angles are congruent. Theorem 3.1 "Alternate Interior Angles Theorem" (HW Theorem 3-2) If 2 parallel lines are cut by a transversal, then alternate interior angles are congruent. Theorem 3.2 "Consecutive Interior Angles Theorem" (HW Theorem 3-3) If 2 parallel lines are cut by a transversal, then consecutive interior angles are supplementary. Theorem 3.3 "Alternate Exterior Angles Theorem" If 2 parallel lines are cut by a transversal, then alternate exterior angles are congruent. Theorem 3.4 "Perpendicular Transversal Theorem" (HW Theorem 3-4) If a transversal is perpendicular to one of 2 parallel lines, then it is perpendicular to the other one also. Postulate 3.4 (HW Postulate 11) If 2 lines are cut by a transversal, and corresponding angles are congruent, then the lines are parallel. (converse Corresponding Angles Postulate) Theorem 3.7 (HW Theorem 3-5) If 2 lines are cut by a transversal, and alternate interior angles are congruent, then the lines are parallel. (converse Alternate Interior Angles Theorem) Theorem 3.6 (HW Theorem 3- 6) If 2 lines are cut by a transversal and consecutive interior angles are supplementary, then the lines are parallel. (converse Consecutive Interior Angles Theorem) Theorem 3.8 (HW Theorem 3-7) In a plane, 2 lines perpendicular to the same line are parallel. (converse Perpendicular Transversal Theorem) Theorem 3.5 If two lines are cut by a transversal and alternate exterior angles are congruent, then the lines are parallel. (converse Alternate Exterior Angles Theorem) Postulate 3.5 "Parallel Postulate" (HW Theorem 3-8) Through a point outside a line, there is exactly one line parallel to the given line. HW Theorem 3-10 2 lines parallel to a third line are parallel to each other. Postulate 3.2 (HW Theorem 13-3) 2 non-vertical lines are parallel if and only if their slopes are equal. Postulate 3.3 2 non-vertical lines are perpendicular if and only if their slopes are opposite reciprocals. Point-Slope Form (y-y₁)= m(x-x₁) Standard Form Ax+By=C Point-Line Distance Formula d=|ax₁+by₁+c|/√a²+b²