Theorems 3.1 - 3.12

3.1 - If two lines intersect to form a linear pair of congruent angles, then the lines are perpendicular.

3.2 - If two sides of two adjacent acute angles are perpendicular, then the angles are complimentary.

3.3 - If two lines are perpendicular, then they intersect to form four right angles.

3.4 Alternate Interior Angles - If two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

3.5 Same Side Interior Angles - If two parallel lines are cut by a transversal, then the pairs of same side interior angles are supplememntary.

3.6 Alternate Exterior Angles - If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.

3.7 Perpendicular Transversal - If a transversal is perpendicular to one of the two parallel lines, then it is perpendicular to the other.

3.8 Alternate Interior Angles Converse - If two lines are cut by a transversal so that alternate interior angles are congruent, then the lines are parallel.

3.9 Same Side Interior Angles Converse - If two lines are cut by a transversal so that same side interior angles are supplementary, then the lines are parallel.

3.10 Alternate Exterior Angles Converse - If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.

3.11 - If two lines are parallel to the same line, then they are parallel to each other.

3.12 - In a plane, if two lines are perpendicular to the same line, then they are parallel to each other.

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