B.construct the circumscribed circle of the triangle PQR

Question

ScanSolve AI Tutor · Accepted Answer

To construct the circumscribed circle of triangle PQR:

Construct the perpendicular bisector of side PQ.
Place the compass point at P, open it to more than half the length of PQ, and draw arcs above and below PQ. Repeat this from point Q with the same compass opening. Draw a straight line connecting the two points where the arcs intersect.
Construct the perpendicular bisector of side QR using the same method as in Step 1.
The point where the two perpendicular bisectors intersect is the circumcenter of the triangle.
Label this point O.
Place the compass point at O and open it to the distance OP (or OQ or OR, as these distances will be equal).
Draw a circle. This circle passes through all three vertices P, Q, and R, and is the circumscribed circle.

Step-by-step solution