Lines & Angles: Corresponding, Alternate Angles, Parallel Lines & Traversal - Class 9th - 05/13 - YoutubeRandom

## Lines & Angles: Corresponding, Alternate Angles, Parallel Lines & Traversal - Class 9th - 05/13

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Alternate Angles
Two angles, formed when a line crosses two other lines, that lie on opposite sides of the transversal line and on opposite relative sides of the other lines. If the two lines crossed are parallel, the alternate angles are equal.

In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points. Transversals play a role in establishing whether two other lines in the Euclidean plane are parallel. The intersections of a transversal with two lines create various types of pairs of angles: consecutive interior angles, corresponding angles, and alternate angles. By Euclid's parallel postulate, if the two lines are parallel, consecutive interior angles are supplementary, corresponding angles are equal, and alternate angles are equal.

Corresponding angles
Corresponding angles are the four pairs of angles that:

1) have distinct vertex points,
2) lie on the same side of the transversal and
3) one angle is interior and the other is exterior.
Two lines are parallel if and only if the two angles of any pair of corresponding angles of any transversal are congruent (equal in measure)

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