Question

the table shows the steps for constructing a line parallel to line jk through point p. description: use a straightedge to draw a transversal through line jk and point p. placing a compass at point q, draw an arc to represent the angle ∠pqx. label the intersection of the semi - circular arc and transversal as point r. without changing the compass setting, place the compass on point p to create another arc and label where this arc intersects with the arc from point p. what are the missing steps in the table? step 2: label the point where the transversal intersects line jk as point q. step 4: without changing the compass setting, place the compass on point q and draw a semi - circular arc intersecting the transversal and moving in the direction of line jk. step 7: use point q and this final intersection in order to create the line parallel to line jk. step 2: label the point where the transversal intersects line jk as point q. step 4: without changing the compass setting, place the compass on point q and draw a semi - circular arc intersecting the transversal and moving in the direction of line jk. step 7: use point p and this final intersection in order to create the line parallel to line jk. step 2: label the point where the transversal intersects line jk as point q. step 4: without changing the compass setting, place the compass on point q and draw a semi - circular arc intersecting the transversal and moving in the direction of line jk. step 7: use point p and this final intersection in order to create the line parallel to line jk. step 2: label the point where the transversal intersects line jk as point q. step 4: without changing the compass setting, place the compass on point q and draw a semi - circular arc intersecting the transversal and moving in the direction of line jk. step 7: use point q and this final intersection in order to create the line parallel to line jk.

Explanation:

Step1: Analyze compass - related construction steps

When constructing a parallel line, we first label the intersection of the transversal and the given line. Then we use the compass to create arcs.

Step2: Identify correct sequence

The correct sequence is to first label the point where the transversal intersects line \(JK\) as point \(Q\) (Step 2). Then, without changing the compass - setting, place the compass on point \(Q\) and draw a semi - circular arc intersecting the transversal (Step 4). Finally, use point \(P\) and the final intersection to create the line parallel to line \(JK\) (Step 7).

Answer:

Step 2: Label the point where the transversal intersects line \(JK\) as point \(Q\).
Step 4: Without changing the compass setting, place the compass on point \(Q\) and draw a semi - circular arc intersecting the transversal.
Step 7: Use point \(P\) and this final intersection in order to create the line parallel to line \(JK\).