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

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Two angle that lie on the very same side of the transversal and on the same sides the the various other two present - they space in the same ar on every parallel line.
Two nonadjacent angles that lie on opposite sides of the transversal and also between the various other lines (interior of the lines).
Two angle that lie on opposite political parties of the transversal and outside the various other two present (exterior come the lines).

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Two angles that lied on the exact same side that the transversal and between the other two currently (interior of the lines).
If 2 parallel present are reduced by a transversal, then equivalent angles space congruent. THIS IS BICONDITIONAL (converse is true): matching Angles Converse Postulate
If 2 parallel lines are cut by a transversal, then the alternate interior angles are congruent. THIS IS BICONDITIONAL (converse is true): alternative Interior angle Converse Theorem
If two parallel currently are cut by a transversal, climate the alternate exterior angles room congruent. THIS IS BICONDITIONAL (converse is true): alternative Exterior angles Converse Theorem
If two parallel currently are reduced by a transversal, climate the continually (same side) inner angles space supplementary. THIS IS BICONDITIONAL (converse is true): Consecutive internal Angles Converse Theorem
Parallel lines have actually equal slopes (biconditional true: if 2 lines have equal slopes, then they room parallel)
If two lines are perpendicular present then their slopes have actually a product of -1 (the slopes are an unfavorable 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 that a line provided the steep of the line (m) and also a allude on the line (x1, y1): y - y1 = m(x - x1)
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