Question

given: $overline{rs}$ and point d not on $overline{rs}$. which is the first step for you to construct a line that is perpendicular to $overline{rs}$ and passes through point d? use your straightedge to draw a line through points d and g. place the compass point on d and swing an arc that intersects rs at two points. label those points e and f. without changing the width of the compass, place the compass point on f and draw and arc below rs so that it intersects the arc drawn from point e. label the intersections of the arcs as point g. without changing the compass, place the compass on e and draw an arc below rs.

Explanation:

To construct a perpendicular line from a point to a given line, the first step is to create two intersection points on the given line using a compass from the external point. This provides a base for further construction of the perpendicular.

Answer:

Place the compass point on D and swing an arc that intersects RS at two points. Label those points E and F.