Parallel and Perpendicular Lines Answers

Gerald is constructing a line parallel to line l through point P. He begins by drawing line m through points P and Q. He then draws a circle centered at Q, which intersects line l at point N and line m at point S. Keeping the compass measure, he draws a congruent circle centered at point P, which intersects line m at point T.Which next step will create point R, such that when a line is drawn through points P and R, the line will be parallel to line l?

Janelle says that lines l and m are skew lines.

Consider the incomplete paragraph proof.Given: P is a point on the perpendicular bisector, l, of MN.Prove: PM = PN

In the diagram, TQ is 18 units in length.