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# Geometry

Match the Theorems and postulates to their definitions

AB
Corresponding Angles Postulate (P3-1)If 2 parallel lines are cut by a transversal, then each pair of corresponding angles is congruent
Alternate Interior Angles Theorem (T3-1)If 2 parallel lines are cut by a transversal, then each pair of alternate interior angles is congruent
Consecutive Interior Angles Theorem (T3-2)If 2 parallel lines are cut by a transversal, then each pair of consecutive interior angles is supplementary
Alternate Exterior Angles Theorem (T3-3)If 2 parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent
Perpendicular Transversal Theorem (T3-4)In a plane, if a line is perpendicular to one of the 2 parallel lines then it is perpendicular to the other
Paralell Lines and Slope Postulate (P3-2)2 nonvertical lines have the same slope, if and only if, they are parallel
Perpendicular lines and slope Postulate (P3-3)2 nonvertical lines are perpendicular, if and only if, the product of their slope is -1
Converse of Corresponding Angles Postulate (P3-4)If 2 lines in a plane are cut by a transversal so that the corresponding angles are congruent, then the lines are parallel
Parallel Postulate (P3-5)If there is a line and a point not on the line, then there exists exactly one line through the point that is parallel to the given line
Converse of the Alternate Exterior Angles Theorem (T3-5)If 2 lines in a plane are cut by a transversal so that a pair of alternate exterior angles is congruent, then the two lines are parallel
Converse of the Consecutive Interior Angles Theorem (T3-6)If 2 lines in a plane are cut by a transversal so that a pair of consecutive interior angles is supplementary, then the lines are parallel
Converse of the Anternate Interior Angles Theorem (T3-7)If 2 lines in a plane are cut by a transversal so that a pair of alternate interior angles is congruent, then the lines are parallel
Converse of the Perpendicular Transversal Theorem (T3-8)In a plane if 2 lines are perpendicular to the same line, then they are parallel
Transitive Property of Parallel Lines Theorem (T3-9)If 2 lines are parallel to the same line then they are parallel to each other