coplanar lines that do not intersect
lines that do not intersect and are not coplanar
planes that do not intersect
a line that intersects two or more coplanar lines at different points
angles on the inside of parallel lines cut by a transversal
angles on the outside of parallel lines cut by a transversal
Consecutive Interior Angles
angles that are on the same side of the transversal and inside the two lines
Alternative Interior Angles
A pair of angles which are both interior, different sides of the transversal and nonadjacent
A pair of angles which are on the same side of the transversal, one must be interior, one must be extirior, and they must be nonadjacent
Corresponding Angles Postulate
if two parallel lines are cut by a transversal, then the pairs of corresponding angles are congruent
Alternate Interior Angles Theorem
if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent
Consecutive Interior Angles Theorem
If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary
Alternative Exterior Angles Theorem
If two parrallel lines are cut by a transversal, then the pairs of alternative exterior angles are congruent
Perpendicular Transversal Theorem
in a plane, if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other
the steepness of a line on a graph, equal to its vertical change divided by its horizontal change
A situation where as the independent variable increases in value, the dependent variable will increase in value and vice versa.
A situation where as an independent variable increases in value, the dependent variable will decrease in value and vice versa.
line is horizontal ex: -5/0
Slope of a vertical line ex: 0/-5
Rate of Change
Slope can be interpreted as a rate of change, describing how a quantity Y changes in relationship to quantity X
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
Slopes that are opposite reciprocals.