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Review of Chapters 1-5

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Postulate/Theorem
Definition
Segment Addition Postulate   If B is between A and C, then AB+BC=AC  
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Through any two points there exists exactly one line.    
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If two lines intersect, then their intersection is exactly one point.    
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If two lines intersect, then their intersection is exactly one point.    
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Through any three non-collinear points there exists exactly one plane.    
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A plane contains at least three non-collinear points.    
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If two points lie in a plane, then the line containing them lies in the plane.    
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If two planes intersect, then their intersection is a line.    
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Right Angles Congruence Theorem   All right angles are congruent.  
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Linear Pair Postulate   If two angles form a right angle, then they are supplementary.  
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Vertical Angles Congruence Theorem   Vertical angles are congruent.  
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Corresponding Angles Postulate   If two parallel angles are cut by a transversal, then the pairs of corresponding angles are congruent.  
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Alternate Interior Angles Theorem   If two parallel angles are cut by a transversal, then the pairs of alternate interior angles are congruent.  
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Alternate Exterior Angles Theorem   If two parallel angles are cut by a transversal, then the pairs of alternate exterior angles are congruent.  
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Consecutive Interior Angles Theorem   If two parallel angles are cut by a transversal, then the pairs of then the pairs of consecutive interior angles are supplementary.  
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Corresponding Angles Converse   If two parallel angles are cut by a transversal so the corresponding angles are congruent, then the lines are parallel  
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Alternate Interior Angles Converse   If two parallel angles are cut by a transversal so the alternate interior angles are congruent, then the lines are parallel  
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Alternate Exterior Angles Converse   If two parallel angles are cut by a transversal so the alternate exterior angles are congruent, then the lines are parallel  
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Consecutive Interior Angles Converse   If two parallel angles are cut by a transversal so the consecutive interior angles are supplementary, then the lines are parallel  
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Transitive Property of Parallel Lines   If two lines are parallel to the same line, then they are parallel to each other.  
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If a slope has a zero in the denominator, then the slope is..   undefined.  
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Slopes of Parallel Lines   In a coordinate plane, two non-vertical lines are parallel if and only if they have the same slope. Any two vertical lines are parallel.  
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Slopes of Perpendicular Lines   Parallel lines have opposite reciprocals of slopes.  
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Theorum 3.8   If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.  
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Perpendicular Transversal Theorem   If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other.  
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Lines Perpendicular to a Transversal Theorem   In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.  
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Created by: jamie_geometry9
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