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# perpendicular and pa

### Geometry perpendicular and parallel lines postulates and theorems (chp. 3)

hypothesisconclusion
If two parallel lines are cut by a transversal then each pair of corresponding angles is congruent
If two parallel lines are cut by a transversal then each pair of alternate interior angles is congruent
If two parallel lines are cut by a transversal then each pair of consecutive interior angles is supplementary
If two parallel lines are cut by a transversal then each pair of alternate exterior angles is congruent
In a plane, if a line is perpendicular to one of two parallel lines then it is perpendicular to the other
Two nonvertical lines have the same slope if and only if they are parallel
Two nonvertical lines are perpendicular if and only if the product of their slopes is -1
If two parallel lines are cut by a transversal so that corresponding angles are congruent then the lines are parallel
If there is a line and a point not on the line then there exists exactly one line through the point that is parallel to the given line
If the two lines in a plane are cut by a transversal so that a pair of alternate exterior angles is congruent then the two lines are parallel
If the two lines in a plane are cut by a transversal so that a pair of consecutive interior angles is supplementary then the lines are parallel
If the two lines in a plane are cut by a transversal so that a pair of alternate interior angles is congruent then the lines are parallel
In a plane, if two lines are prependicular to the same line then they are parallel
In a plane, if two lines are prependicular to the same line then they are parallel
In a plane, if two lines are each equidistant from a third line then the two lines are parallel to each other
Coplanar lines that do not intersect are parallel lines.
Point-slope form An equation of the form y-y1=M(x-x1), where (x1, y1)are the coordinates of any point on the line and "M" is the slope of the line.
Lines that do not intersect and are not coplanar are skew lines.
Slope-intercept form A linear equation of the form Y=MX+B. The graph of such an equation has slope "M" and Y-intercept "B".
A line that intersects two or more lines in a plane at different points is a transversal.
Created by: m.meyer