Fill in the blanks. Given: Two parallel lines are cut by a transversal, complete the statements below: 1. If two angles are corresponding angles then they are 2. If two angles are alternate interior angles, then they are 3. If two angles are alternate exterior angles, then they are 4. If two angles are same side interior angles, then they are 5. If two angles are same side exterior angles then they are 3 of 4
1.Postulate 11: (Corresponding Angles Postulate) If two parallel lines are cut by a transversal, then the corresponding angles are congruent.
2.Alternate Interior Angles Theorem:
If a transversal intersects two parallel lines, then alternate interior angles are congruent.
3.If a transversal intersects two parallel lines, the corresponding angles are congruent. Alternate Exterior Angles Theorem: If a transversal intersects two parallel lines, then alternate exterior angles are congruent.
4.Same side interior angles are congruent when lines are parallel.
5.Two angles that are exterior to the parallel lines and on the same side of the transversal line are called same-side exterior angles. The theorem states that same-side exterior angles are supplementary, meaning that they have a sum of 180 degrees.
