A line the intersects two or much more coplanar lines at different points; the angles space classified through type.

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

Two angles that lied on the same side the the transversal and on the exact same sides that the other two lines - they space in the same place on every parallel line.

Two nonadjacent angles that lied on opposite sides of the transversal and between the various other lines (interior that the lines).

Two angles that lied on opposite sides of the transversal and outside the other two lines (exterior to the lines).

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Two angles that lie on the very same side that the transversal and also between the various other two lines (interior the the lines).

If two parallel currently are cut by a transversal, then matching angles space congruent. THIS IS BICONDITIONAL (converse is true): corresponding Angles Converse Postulate

If two parallel present are reduced by a transversal, then the alternate interior angles room congruent. THIS IS BICONDITIONAL (converse is true): alternating Interior angles Converse Theorem

If 2 parallel lines are reduced by a transversal, climate the alternate exterior angles are congruent. THIS IS BICONDITIONAL (converse is true): alternative Exterior angles Converse Theorem

If two parallel lines are cut by a transversal, climate the consecutive (same side) interior angles space supplementary. THIS IS BICONDITIONAL (converse is true): Consecutive inner Angles Converse Theorem

Parallel lines have actually equal slopes (biconditional true: if 2 lines have actually equal slopes, climate they are parallel)

If 2 lines space perpendicular lines then your slopes have actually a product that -1 (the slopes are negative reciprocals of every other) (biconditional true: if the product of the slopes of two lines is -1, then the lines space perpendicular)

Formula to find the equation the a line offered the steep of the line (m) and a allude on the heat (x1, y1): y - y1 = m(x - x1)

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Geometry1st EditionChard, Earlene J. Hall, Edward B. Burger, Kennedy, Paul A., Seymour, Steven J. Leinwand, Waits

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