Angles in the same place on different lines cut by a transversal are equal if the lines are parallel. These are called?

• A. Alternate Interior Angles
• B. Corresponding Angles
• C. Vertical Angles
• D. Exterior Angles

Answer: (B)

When a transversal crosses two parallel lines, angles that sit in the same relative position at each intersection are equal. These are called corresponding angles. So the statement describes the situation where the angle at one intersection in a given position matches the angle at the other intersection in the same position, provided the lines are parallel. Picture two horizontal parallel lines and a diagonal transversal: the upper-right angle at the first intersection equals the upper-right angle at the second intersection. This is the hallmark of corresponding angles. For contrast, alternate interior angles are inside the region between the lines on opposite sides of the transversal, vertical angles are opposite each other at the same intersection, and exterior angles sit outside the region between the lines—none of these match the “same place on different lines” idea.