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15 Cards in this Set
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Therorem 3.1

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


Theorem 3.2

If two sides of two adjacent acute angles are perpendicular, then the angles are complementary.


Theorem 3.3

If tow lines are perpendicular, then they intersect to form four right angles.


Linear Pair Postulate

If two angles form a linear pair, then they are supplementary


Parallel Postulate

If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line.


Perpendicular Postulate

If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line.


Corresponding Angles Postulate

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.


Corresponding Angles Converse

If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.


Slopes of Parallel Lines

In a coordinate plane, two nonvertical lines are parallel if and only if they have the same slope. Any two vertical lines are parallel.


Slopes of Perpendicular Lines

In a coordinate plane, two nonvertical lines are perpendicular if and only if the product of their slopes is 1. Vertical and horizontal lines are perpendicular.


Corresponding Angles Postulate

If two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent.


Alternate Interior Angles

If two parallel lines are cut by a transversal, the the pairs of alternate interior angles are congruent.


Alternate Exterior Angles

If two parallel lines are cut by a transversal, then the pairs of alternate exterior angles are congruent.


Perpendicular Transversal

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


Corresponding Angles Converse

If two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel.
