Question

Parallel lines r and s are cut by two transversal parallel lines t and u. What is the relationship between the angles formed by the transversals and the parallel lines?

1) Alternate interior angles
2) Corresponding angles
3) Vertical angles
4) Supplementary angles

Answer 1

When parallel lines r and s are intersected by parallel transversal lines t and u, they form equal alternate interior angles, equal corresponding angles, equal vertical angles, and supplementary angles.

Step-by-step explanation:

The question relates to the properties of angles formed when two parallel lines are intersected by two other parallel transversal lines. There are various relationships between the angles in this geometric configuration:

• Alternate interior angles are equal.
• Corresponding angles are equal.
• Vertical angles are equal.
• When two parallel lines are cut by a transversal, supplementary angles are formed, which means they add up to 180 degrees.

Since lines t and u are parallel and serve as transversals to the initial parallel lines r and s, it creates equal alternate interior angles and corresponding angles, as well as supplementary angles adjacent to each transversal.