Question

constructing a perpendicular bisector
construct a perpendicular bisector to pq by following these steps.

1. move the compass center to p and draw a long arc that intersects pq. then move the compass to q and draw an arc that intersects the first arc in two places.

Explanation:

Step1: Set compass at P

Set the compass width to more than half of the length of PQ. Draw an arc that intersects PQ.

Step2: Set compass at Q

Without changing the compass width, place the compass at Q and draw an arc that intersects the first - drawn arc at two points.

Step3: Draw the perpendicular bisector

Use a straight - edge to draw a line through the two intersection points of the arcs. This line is the perpendicular bisector of PQ.

Answer:

The line drawn through the two intersection points of the arcs is the perpendicular bisector of PQ.