Question

which construction provides a correct first step in constructing a line segment perpendicular to JK through P (look at pic)

Answer 1

The correct option is;

Construction B

Explanation:

The steps to construct a perpendicular to a given line from a point outside the line is given as follows;

1) The compass width should be opened to a distance wider than than the length of the perpendicular from the point but still able to scribe two arcs on the line from the given point. With the appropriate compass width, draw arcs intersecting the given line at two points

2) Label the arcs Q and R, and scribe arcs of equal radius intersecting each other from points Q and R on the other side of the given line from the given point P

3) Label the intersection of the arcs S, and construct the line SP from S to P with a straight edge which is the line perpend to JK passing through P.