Place the compass point on point P. Open the compass to any convenient radius.

Question

ScanSolve AI Tutor · Accepted Answer

To construct a line perpendicular to line AB through point P using a compass and ruler:

Place the compass point on point P.
Open the compass to any convenient radius.
Draw arcs that intersect the line AB on both sides of P.
Label these intersection points as X and Y.
Open the compass to a radius greater than the distance PX (or PY).
Place the compass point on X and draw an arc above (or below) the line AB.
Without changing the compass radius, place the compass point on Y and draw another arc that intersects the arc drawn in Step 3.
Label this intersection point as Q.
Use a ruler to draw a straight line connecting point P and point Q.
This line PQ is perpendicular to line AB.

The constructed line is $\text{the line segment PQ}$ .

Answer