A line that intersects two or even more coplanar lines at various points; the angles are classified by type.

You are watching: A line that intersects two or more lines


Two angles that lie on the very same side of the transversal and also on the same sides of the other 2 lines - they are in the exact same area on each parallel line.
Two nonnearby angles that lie on oppowebsite sides of the transversal and also between the other lines (inner of the lines).
Two angles that lie on opposite sides of the transversal and exterior the various other 2 lines (exterior to the lines).

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Two angles that lie on the very same side of the transversal and also in between the various other 2 lines (interior of the lines).
If two parallel lines are reduced by a transversal, then corresponding angles are congruent. THIS IS BICONDITIONAL (converse is true): Corresponding Angles Converse Postulate
If two parallel lines are cut by a transversal, then the alternative inner angles are congruent. THIS IS BICONDITIONAL (converse is true): Alternate Interior Angles Converse Theorem
If 2 parallel lines are reduced by a transversal, then the alternative exterior angles are congruent. THIS IS BICONDITIONAL (converse is true): Alternative Exterior Angles Converse Theorem
If two parallel lines are cut by a transversal, then the consecutive (exact same side) inner angles are supplementary. THIS IS BICONDITIONAL (converse is true): Consecutive Interior Angles Converse Theorem
Parallel lines have actually equal slopes (biconditional true: if 2 lines have equal slopes, then they are parallel)
If 2 lines are perpendicular lines then their slopes have actually a product of -1 (the slopes are negative reciprocals of each other) (biconditional true: if the product of the slopes of two lines is -1, then the lines are perpendicular)
Formula to uncover the equation of a line provided the slope of the line (m) and a suggest on the line (x1, y1): y - y1 = m(x - x1)
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Geometry1st EditionCtough, Earlene J. Hall, Edward B. Burger, Kennedy, Paul A., Seymour, Stalso J. Leinwand also, Waits
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