Question

each sheet of metal on a roof is perpendicular to the top line of the roof. what can you conclude about the relationship between the sheets of roofing? justify your answer.
the sheets of metal are all parallel to each other because in a plane, if two lines are perpendicular to the same line, then they are parallel to each other.
the sheets of metal are all parallel to each other by the alternate interior angles theorem.
the sheets of metal are all parallel to each other because in a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other.
the sheets of metal are all parallel to each other by the transitive property of parallel lines.

Explanation:

Step1: Recall parallel - line theorem

In a plane, if two lines are perpendicular to the same line, then they are parallel to each other. Here, the sheets of metal are perpendicular to the top - line of the roof.

Step2: Apply the theorem

Since each sheet of metal is perpendicular to the top line of the roof, by the theorem that in a plane, if two lines are perpendicular to the same line then they are parallel to each other, the sheets of metal are parallel to each other.

Answer:

The sheets of metal are all parallel to each other because in a plane, if two lines are perpendicular to the same line, then they are parallel to each other.