Question

Draw a figure roughly like one shown, but larger. Do the indicated construction clearly enough so that your method can be understood easily.

The perpendicular to $\overleftrightarrow{HJ}$ from $G$.

Short answer

Figure is shown below.

Step-by-step solution

Step 1. Given information.   

Figure is shown below.

Step 2. Concept used.

Draw by using compass.

Step 3. Construction.

Steps to draw perpendicular from point $S$ to line $l$ are described below:

Draw two arcs of equal radii with point $J$ as center intersecting line $HG$at $X and Y$.

Using $X and Y$ as centers and a suitable radius, draw arcs that intersect at point $Z$ as shown in figure below.

Join $JZ$ which is perpendicular: