Question

If two parallel lines are cut by a transversal, then the same-side interior angles are supplementary.



Alternate Interior Angles Theorem

Corresponding Angles Postulate

Same-Side Interior Angles Theorem

Converse of the Same-Side Interior Angles Theorem

Answer 1

The statement "If two parallel lines are cut by a transversal, then the same-side interior angles are supplementary" is referred to as the **Same-Side Interior Angles Theorem**. This theorem states that when a transversal intersects two parallel lines, the pair of same-side interior angles formed is supplementary, meaning their measures add up to 180 degrees.

Here's a brief description of the other terms mentioned:

1. **Alternate Interior Angles Theorem**: This states that if two parallel lines are cut by a transversal, then the alternate interior angles are congruent.

2. **Corresponding Angles Postulate**: This states that if two parallel lines are cut by a transversal, then the corresponding angles are congruent.

3. **Converse of the Same-Side Interior Angles Theorem**: This states that if two lines are cut by a transversal and the same-side interior angles are supplementary, then the two lines are parallel.

So, the correct context for your original statement is the Same-Side Interior Angles Theorem.