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Geometry Chapter 3

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Question
Answer
   
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Postulate 3.1   If two parallel lines are cut by a transversal, then each pair or corresponding angles are congruent.  
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Postulate 3.2   Two non-vertical lines have the same slope if and only if they are parallel.  
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Postulate 3.3   Two non-vertical lines are perpendicular if and only if the product of their slope is -1.  
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Postulate 3.4   If corresponding angles are congruent, then the lines are parallel.  
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Postulate 3.5   If given a line and a point not on that line, then there exist exactly one line through the point that is parallel to the given line.  
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Theorem 3.1   If two parallel lines are cut by a transversal, then each pair of alternate angles are congruent.  
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Theorem 3.2   If two parallel lines are cut by a transversal, then each pair of consecutive angles are supplementary or equal to 180.  
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Theorem 3.3   If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent.  
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Theorem 3.4   In a plane if a line is perpendicular to a line, then its parallel line is also perpendicular to the line.  
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Theorem 3.5   If alternate exterior angles are congruent, then lines are parallel.  
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Theorem 3.6   If consecutive interior angles are supplementary, then lines are parallel.  
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Theorem 3.7   If alternate interior angles are congruent, then lines are parallel.  
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Theorem 3.8   If two lines are perpendicular to the same line, then they are parallel.  
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