Answer:
a) Line r
b) Line q
c) Line s
d) Line q
e) Line p
Explanation:
A transversal is a line that crosses two other lines in the same plane at two distinct points.
a) The transversal connecting ∠1 and ∠5 is line r.
- Line r is the transversal of lines p and q.
- ∠1 and ∠5 are corresponding angles as they are in the same position relative to lines p and q crossed by the transversal r.
b) The transversal connecting ∠7 and ∠14 is line q.
- Line q is the transversal of lines r and s.
- ∠7 and ∠14 are alternate interior angles as they are on the inner side of lines r and s, but on opposite sides of the transversal q.
c) The transversal connecting ∠8 and ∠11 is line s.
- Line s is the transversal of lines p and q.
- ∠8 and ∠11 are alternate exterior angles as they are on the outer side of lines p and q, but on opposite sides of the transversal s.
d) The transversal connecting ∠6 and ∠15 is line q.
- Line q is the transversal of lines r and s.
- ∠6 and ∠15 are alternate exterior angles as they are on the outer side of lines r and s, but on opposite sides of the transversal q.
e) The transversal connecting ∠3 and ∠9 is line p.
- Line p is the transversal of lines r and s.
- ∠3 and ∠9 are consecutive interior angles as they are on the inner side of lines r and s, and are on the same side of the transversal p.