Question

The figure shows a circle circumscribed around a triangle.

Triangle U T V is inscribed within a circle. A point is at the center of the triangle. Lines are drawn from the points of the triangle to the point in the middle. Lines are drawn from the point in the middle to the sides of the triangle to form right angles.

What is constructed first when creating the circle?

perpendicular segments to the vertices of the triangle
perpendicular bisectors of the sides of the triangle
angle bisectors of each angle of the triangle
the incenter of the triangle

Answer 1

perpendicular bisectors of the sides of the triangle

Reason: the circumscribed circle is drawn centered at the circumcenter, which is found as the intersection of the perpendicular bisectors of the triangle's sides (not the angle bisectors or incenter).