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.

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AL2006
The sidelines are parallel to one another, because
they are perpendicular to the same line.
fichoh

The true statement about the sidelines would be that they are parallel because they are both perpendicular to each of the boldly marked line.

  • If the sidelines are perpendicular, then the boldly marked lines, then the boldly marked lines cannot be perpendicular to both sidelines

  • The fact that all the boldly marked lines forms a perpendicular line with both sidelines, then it is a must that both sidelines are perpendicular.

Therefore, since the sidelines are perpendicular to the same set of lines, then the sidelines would be parallel.

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