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# Postulates-Theorems

### Geometry Chapter 3

Postulate 3.1 If two parallel lines are cut by a transversal, then each pair or corresponding angles are congruent.
Postulate 3.2 Two non-vertical lines have the same slope if and only if they are parallel.
Postulate 3.3 Two non-vertical lines are perpendicular if and only if the product of their slope is -1.
Postulate 3.4 If corresponding angles are congruent, then the lines are parallel.
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.
Theorem 3.1 If two parallel lines are cut by a transversal, then each pair of alternate angles are congruent.
Theorem 3.2 If two parallel lines are cut by a transversal, then each pair of consecutive angles are supplementary or equal to 180.
Theorem 3.3 If two parallel lines are cut by a transversal, then each pair of alternate exterior angles is congruent.
Theorem 3.4 In a plane if a line is perpendicular to a line, then its parallel line is also perpendicular to the line.
Theorem 3.5 If alternate exterior angles are congruent, then lines are parallel.
Theorem 3.6 If consecutive interior angles are supplementary, then lines are parallel.
Theorem 3.7 If alternate interior angles are congruent, then lines are parallel.
Theorem 3.8 If two lines are perpendicular to the same line, then they are parallel.
Created by: Shiney444