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Chapter 3 Theorems

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Term
Definition
If two parallel lines are cut by a third plane   Then the lines of intersection are parallel  
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If two parallel lines are cut by a transversal and alternate interior angles are formed   Then they are congruent  
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If two parallel lines are cut by a transversal and same side interior angles are formed   Then they are supplementary  
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If a transversal is perpendicular to one of two parallel lines   Then it is perpendicular to the other one also  
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If two lines are cut by a transversal and alternate interior angles are congruent or if same side interior angles are supplementary   Then the lines are parallel  
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If two lines are perpendicular to the same line in a plane   Then the perpendicular lines are parallel  
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Through a point outside a line   There is exactly one line parallel to and perpendicular to the given line  
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If two lines are parallel to a third line   Then the lines are parallel to each other  
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The sum of the angles of a triangle   180  
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The measure of an exterior angle of a triangle   Equals the sum of the measures of the two remote interior angles  
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The sum of the measures of the angles of a convex polygon   (n-2)180  
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The sum of the measures of the exterior angles of any convex polygon   360  
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