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The next step is to to construct a line through point R  is the option;

  • Place the compass on point T. without changing the setting from the previous step, draw a small arc above [tex]\overleftrightarrow{ST}[/tex]

What are the steps to construct a perpendicular to a line?

The steps to  construct a perpendicular through the point R are;

  • Place the compass at point R and draw an arc intersecting the line ST at the point S and T.

  • Place the compass at point S and draw the arc given in the drawing.

  • Place the arc at point T and without changing the setting draw an arc above the line ST to intersect the previous arc.

  • Join the point of intersection of the arcs to the point R to complete the construction of the perpendicular to the line ST passing through R

The step that should be taken next to construct a line through point R that is perpendicular to [tex]\overleftrightarrow{ST}[/tex] is therefore;

Place the compass on point T. without changing the setting from the previous step, draw a small arc above [tex]\overleftrightarrow{ST}[/tex]

Learn more about how to carry out geometric constructions here:

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