Question

For every 10 yards on a football field, there is a boldly marked line labeled with the amount of yards. Each of those lines is perpendicular to both sidelines. What can be said about the relationship of the sidelines? Justify your answer.

a. The sidelines are perpendicular to each other by the definition of the Transitive Property.

b. The sidelines are parallel by the Same-Side Interior Angles Theorem.

c. The sidelines are perpendicular by the Perpendicular Transversal Theorem

d. The sidelines are parallel because they are perpendicular to the same line.

Answer 1

The correct answer is:

D) The sidelines are parallel because they are perpendicular to the same line.

Step-by-step explanation:

Both sidelines are perpendicular to each 10 yard line. This means the angle is the same between the sideline and each 10 yard angle. Since the angle is the same, the sidelines are the same distance from each 10 yard line. Since the distance between them is the same, they are parallel.

Answer 2

Answer;

D. The sidelines are parallel because they are perpendicular to the same line

Step-by-step explanation;

According to the perpendicular Transversal Theorem , In a plane, if a line is perpendicular to one of two parallel lines , then it is perpendicular to the other line also. Additionally, the converse perpendicular transversal theorem states that, in a plane, if two lines are perpendicular to the same line, then they are parallel. Thus, the sidelines are parallel and also perpendicular to the same line.