What parallel lines are cut by a transversal?
If two parallel lines are cut by a transversal, then, Alternate Exterior Angles are congruent. If two parallel lines are cut by a transversal, then corresponding angles are congruent. Two lines cut by a transversal are parallel IF AND ONLY IF corresponding angles are congruent.
What are the 5 angles formed by parallel lines cut by a transversal?
They are 1) corresponding angles, the angles that are on the same corner at each intersection; 2) alternate interior angles, the angles that are between the two parallel lines but on opposite sides of the transversal; 3) alternate exterior angles, the angles that are outside the parallel lines but on opposite sides of …
What is transversal in parallel lines?
In geometry, a transversal is a line that intersects two or more other (often parallel ) lines. If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent .
What is parallel and transversal line?
Parallel lines are lines that always stay the same distance apart and never meet. A transversal is a line that crosses two or more other lines.
What happens when two lines are parallel and cut by a transversal?
In the video below, you’ll discover that if two lines are parallel and are cut by a transversal, then all pairs of corresponding angles are congruent (i.e., same measure), all pairs of alternate exterior angles are congruent, all pairs of alternate interior angles are congruent, and same side interior angles are supplementary!
What is a transversal in math?
A transversal is a line that intersects two or more coplanar lines, each at a different point. What this means is that, two lines are intersected by a third line, and in so doing, creates six angle-pair relationships as demonstrated below:
What is the difference between corresponding angles and parallel lines?
Corresponding Angles Postulate: If two coplanar lines are cut by a transversal so that two corresponding angles have the same measure, then those lines are parallel. ii. Parallel Lines Postulate: If two coplanar lines are parallel and are cut by a transversal, corresponding angles have the same measure.