Question

To construct the circumscribed circle of a triangle, you must construct at least two of the _________of the triangle and find their intersection point. Set your compass to the distance from the circumcenter to ______ and draw an arc with the compass. Place the point of the compass on______ and draw an arc with the compass.

Answer 1

To construct the circumscribed circle of a triangle, you need to construct the perpendicular bisectors of the triangle and find their intersection point. Use a compass to draw arcs with the radius from the circumcenter to any vertex of the triangle.

Step-by-step explanation:

To construct the circumscribed circle of a triangle, you must construct at least two of the perpendicular bisectors of the triangle and find their intersection point. Set your compass to the distance from the circumcenter to any vertex and draw an arc with the compass. Place the point of the compass on the vertex and draw an arc with the compass.

Answer 2

To construct a circumscribed circle of a triangle, at least two perpendicular bisectors of the triangle are needed to locate the circumcenter. The compass is then set to the distance from the circumcenter to any vertex of the triangle to draw the circumscribed circle.

Step-by-step explanation:

To construct the circumscribed circle of a triangle, you must construct at least two of the perpendicular bisectors of the triangle and find their intersection point. This point of intersection is known as the circumcenter, and it is equidistant from all vertices of the triangle.

Set your compass to the distance from the circumcenter to any vertex of the triangle and draw an arc with the compass. This arc should be drawn all the way around the circumcenter, ensuring it passes through all three vertices, creating the circumscribed circle.

Place the point of the compass on the circumcenter and draw an arc with the compass. If done correctly, when this arc is completed, it will create the circumscribed circle around the triangle, touching all three vertices.