Question

6 nate and whitney were instructed to create the circumcenter of triangle bhx in order to demonstrate the triangle sum theorem. they both used geometry software for their constructions. their incomplete constructions are shown. one student performed the correct construction, and one made an error
complete the statements about the correct construction to demonstrate the triangle sum theorem.
correctly constructed the circumcenter of the triangle by finding the intersection of the

Explanation:

The circumcenter of a triangle is the intersection of the perpendicular bisectors of the sides of the triangle. Whitney's construction shows lines that are perpendicular bisectors (as they are perpendicular to the sides and bisect them). Nate's construction shows angle bisectors (marked with angle - marking arcs), and the intersection of angle bisectors gives the in - center (used for the inscribed circle, related to angle - related properties like equal distances to the sides for the in - circle, not the circum - center). So Whitney correctly constructed the circumcenter by finding the intersection of the perpendicular bisectors.

Answer:

Whitney, Perpendicular Bisectors