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### 21 Cards in this Set

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 All right angles are congruent Right Angle Congruence Theorem If two angles are supplementary to the same angle (or to congruent angles) then they are congruent m>1+m>2=180 m>2 +m>3=180 <1=<3 Congruent Supplements Theorem If two angles are complementary to the same angle (or to congruent angles) then the two angles are congruent M>4 + M>5=90 M>5 + M>6=90 4=6 Congruent Complements Theorem Two angles form a linear pair they are supplementary m<1 + m<2=180 Linear Pair Postulate Verticle Angles are congruent Vertical Angles Theorem If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line Parallel Postulate If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line Perpendicular Postulate If two lines intersect to form a linear pair of congruent angles they are perpendicular Theorem 3.1 If two sides of two adjacent acute angles are perpendicular, then the angles are complementary Theorem 3.2 If two lines are perpendicular then they intersect to form 4 right angles Theorem 3.3 If two parallel line are cut by a transversal, then the pairs of corresponding angles are congruent Corresponding Angles Postulate If two parallel lines are cut by a transversal then the pairs of alternate interior angles are supplementary Alternate Interior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary Consecutive Interior Angles Theorem If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent Alternate Exterior Angles Thereom If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other Perpendicular Transversal If two lines are cut by a transversal so taht corresponding angles are congruent, then the lines are parallel Corresponding Angles Converse Postulate IF two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel Alternate Interior Angles Converse If two lines are cut by a transversal so that consecutive interior angles are supplementary then the lines are parallel Consecutive Interior Angles Converse If two lines are cut by a transversal so that alternate exterior angles are congruent then the lines are parallel Alternate Exterior Angles converse If two lines are parallel two the same line then they are parallel to each other Theorem 3.11 If two lines are perpendicular to the same line then they are parallel to each other Theorem 3.12