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Theorems regarding parallel and perpendicular lines.

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Question
Answer
If two parallel lines are crossed by a transversal, then alternate interior angles are...   congruent.  
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If two parallel lines are crossed by a transversal, then corresponding angles are...   congruent.  
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If two parallel lines are crossed by a transversal, then alternate exterior angles are...   congruent.  
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If two parallel lines are crossed by a transversal, then same side interior angles are...   supplementary.  
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If two parallel lines are crossed by a transversal, then same side exterior angles are...   supplementary.  
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If two lines intersect, then...   vertical angles are congruent.  
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If two lines and a transversal form alternate interior angles that are congruent, then...   the lines are parallel.  
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If two lines and a transversal form alternate exterior angles that are congruent, then...   the lines are parallel.  
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If two lines and a transversal form same side interior angles that are congruent, then...   the lines are parallel.  
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If two lines and a transversal form same side exterior angles that are congruent, then...   the lines are parallel.  
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If two lines and a transversal form corresponding angles that are congruent, then...   the lines are parallel.  
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If two lines are parallel to the same line, then...   they are parallel to each other.  
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In a plane, if two lines are perpendicular to the same line, then...   they are parallel to each other.  
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In a plane, if a line is perpendicular to one of two parallel lines, then...   it is perpendicular to the other.  
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Created by: mburke79
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