Question

andy is done with part of a construction, as shown below.
juan states that andy is constructing the circumscribed circle of triangle abc, and kayla states that andy is constructing the inscribed circle of triangle abc. who is correct about the type of construction that andy is creating?

Explanation:

The markings shown are the perpendicular bisectors of the sides of triangle ABC. The circumscribed circle of a triangle is constructed by finding the intersection of the perpendicular bisectors of its sides (the circumcenter), which is the center of the circle passing through all three vertices. An inscribed circle uses angle bisectors instead. Juan's claim matches this construction.

Answer:

Juan is correct; Andy is constructing the circumscribed circle of triangle ABC.