Pairs of Angles Formed by Transversals

What are the special angle pairs formed by a transversal intersecting parallel lines?

1. Corresponding angles

2. Alternate interior angles

3. Alternate exterior angles

4. Consecutive interior angles

Answer:

The special angle pairs formed by a transversal intersecting parallel lines are: corresponding angles, alternate interior angles, alternate exterior angles, and consecutive interior angles.

A transversal is a line that intersects two or more lines. When a transversal intersects parallel lines, it forms several special angle pairs. These pairs include corresponding angles, which are in the same position on the transversal; alternate interior angles, located on opposite sides of the transversal but inside the two lines; alternate exterior angles, positioned outside the lines but on opposite sides of the transversal; and consecutive interior angles, also known as same-side interior angles, found inside the lines on the same side of the transversal.

For example, if a transversal cuts parallel lines to create four angles labeled as ∠1, ∠2, ∠3, and ∠4, then the pairs of angles would be corresponding angles (∠1 and ∠2), alternate interior angles (∠2 and ∠3), alternate exterior angles (∠1 and ∠4), and consecutive interior angles (∠3 and ∠4). When a transversal intersects parallel lines perpendicularly, each angle formed is a right angle.