The picture below is of a football field. The two sidelines are parallel to each other. The 20 yard line is shown on the diagram below. If it is perpendicular to one sideline, which of the statements below must also be true?
Because of the definition of the transitive property, the 20 yard line is perpendicular to the other sideline
Because of the Same-Side Interior angles theorem, the 20 line is parallel to the other side line
Because of the Perpendicular Transversal theorem, the 20 yard line is parallel to the other sideline
Because of the Perpendicular Transversal theorem, the 20 yard line is perpendicular to the other sideline
Because of the Perpendicular Transversal theorem, the 20 yard line is perpendicular to the other sideline.
Because of the Perpendicular Transversal theorem, the 20 yard line is parallel to the other sideline.
The Perpendicular Transversal theorem states that if a transversal intersects two parallel lines, then the alternate interior angles are congruent and the corresponding angles are congruent.
In this scenario, we know that the 20-yard line is perpendicular to one sideline. If it is also perpendicular to the other sideline, then both sidelines would be parallel to each other.
Therefore, the correct statement is:
Because of the Perpendicular Transversal theorem, the 20 yard line is parallel to the other sideline.