what is a transversal?
Answers
Step-by-step explanation:
In geometry, a transversal is a line that intersects two or more other (often parallel ) lines. In the figure below, line n is a transversal cutting lines l and m . When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles
Answer:
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 or more 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, consecutive exterior angles, corresponding angles, and alternate angles. As a consequence of Euclid's parallel postulate, if the two lines are parallel, consecutive interior angles are supplementary, corresponding angles are equal, and alternate angles are equal.
Transverzala 8.svg Transverzala nonparallel.svg Transverzala parallel.svg
Eight angles of a transversal.
(Vertical angles such as {\displaystyle \alpha }\alpha and {\displaystyle \gamma }\gamma
are always congruent.)
Transversal between non-parallel lines.
Consecutive angles are not supplementary. Transversal between parallel lines.
Consecutive angles are supplementary