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ioda
1 month ago
12

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 p

erpendicular 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.
Mathematics
2 answers:
zzz [12.3K]1 month ago
4 0

Response:

D. The sidelines are parallel because they are perpendicular to a common line.

Justification:

According to the perpendicular transversal theorem, when a line is perpendicular to one of two parallel lines, it is also perpendicular to the other line. Furthermore, the converse of the theorem states that if two lines are perpendicular to the same line, they must be parallel. Therefore, the sidelines are indeed parallel and also perpendicular to this single line.

babunello [11.8K]1 month ago
3 0

The right answer is:

D) The sidelines are parallel since they are perpendicular to a shared line.

Justification:

Each of the sidelines is perpendicular to every 10-yard line. This indicates that the angle formed between the sideline and each 10-yard line is equivalent. Because these angles are consistent, the distance between the sidelines and the 10-yard lines remains constant. Hence, this consistent distance confirms that the sidelines are parallel.

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