CPM Homework Help : CCG Problem 9-98

A line going through points, Q and P is intersected by the line m at P. There is a point R on line, m, at the right of P. Angle R, P, Q, is marked as well as the straight angle about Q. Multiple Choice: Jamila has started to construct a line parallel to line $m$ through point $Q$ at right. Which of the possible strategies below make the most sense to help her find the line parallel to $m$ through point $Q$ ?

Measure $∠QPR$ with a protractor.
Use the compass to measure the arc centered at $P$ , then place the point of the compass where the arc centered at $Q$ meets $\overline{QP}$ , and mark that measure off on the arc.
Construct $\overline{QR}$ .
Measure $PR$ with a ruler.

Hint:

Drawing a line parallel to $m$ through point $Q$ would create a corresponding angle congruent to $∠QPR$ .

Answer:

(b)