Question

2 what is line r called and what are ∠1 and ∠2?
line r is the transversal and ∠1 and ∠2 are a linear pair
line r is the perpendicular bisector and ∠1 and ∠2 are a linear pair
line r is the transversal and ∠1 and ∠2 are consecutive interior angles
line r is the perpendicular bisector and ∠1 and ∠2 are consecutive interior angles

Explanation:

• A transversal is a line that intersects two or more other lines. Here, line \(r\) intersects lines \(p\) and \(q\), so it is a transversal.
• A linear pair of angles is formed when two adjacent angles are supplementary (sum to \(180^{\circ}\)) and share a common side. \(\angle1\) and \(\angle2\) are adjacent and their non - common sides form a straight line (since line \(r\) is a straight line intersected by the transversal conceptually in terms of their adjacency).
• Consecutive interior angles would be between the two lines \(p\) and \(q\) and on the same side of the transversal. But \(\angle1\) and \(\angle2\) do not fit this as they are adjacent along the transversal line \(r\) (not between \(p\) and \(q\) in the sense of consecutive interior).
• A perpendicular bisector would require line \(r\) to be perpendicular to \(p\) and \(q\) (which is not indicated) and bisect them (also not indicated).

Answer:

Line \(r\) is the transversal and \(\angle1\) and \(\angle2\) are a linear pair.