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 dr
aws 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? Use the compass to construct a circle centered at Q through point P. Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P. Using the compass measure between points S and N, draw an arc above line l, centered at N, intersecting the edge of circle Q. Use the compass to construct a circle centered at P through point Q.
The only sensible choice is Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
_____ Whether this will actually do what Gerald wants depends on several things: • point Q being on line L • point N being to the right of line M • the intersection point of the drawn arc and circle P being point R. We presume these things would be resolved by an attached diagram (missing here).
<u>ANSWER IS :</u>Using the compass measure between points S and N, draw an arc to the right of line m, centered at T, intersecting the edge of circle P.
