Question

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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.

http://media.edgenuity.com/evresources/8101/8101-03/8101-03-01/8101-03-01-assessment/8101-03-01-28.PNG

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?

Answer 1

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.

Answer 2

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