Answer: Diagram(B) suggests a correct construction of a line parallel to given line w and passing through given point K.
Explanation:
Let w be the given line.
To construct a line parallel to given line ,we have to perform the following steps.
1) Draw any line intersecting line w at A.
2) Mark point K anywhere on the new line.
3) Draw arc by a compass from A which intersect new line at P and given line at B.
4) Keep the same setting of compass to draw arc from K which intersects the new line at Q .
5) Measure the arc length from P to B and keep the setting to draw arc from Q to intersect the previous arc by formed by K.Mark the intersection point as R.
6) Use a straightedge to draw a line across K and R.
Hence we have constructed a line parallel to line w passing through given point K.