Question

For every 10 yards on a football field, there is a boldly marked line labeled with the amount of yards. There are two parallel sidelines on each side of the field. If the 50vyard line is perpendicular to one of the sidelines, What is its relationship to the other sideline?

Answer 1

the other 10 yard lines should be marked negative on the opposite side.

Answer 2

Answer: perpendicular

Explanation:

One of the properties of two parallel lines in a plane is:

• When the parallel lines are both intersected by a third straight line (a transversal) in the same plane, the corresponding angles of intersection with the transversal are congruent.

In this case, the parallel lines are the sidelines and the transversal is the 50 yard line. Since the angle between one of the sidelines and the 50 yard line is 90 degrees (perpendicular), then the angle between the other sideline and the 50 yard line has to be congruent, so it's also perpendicular.