Question

in order to circumscribe a circle on a triangle, which line must you construct? a median b altitude c diagonal d angle bisector e perpendicular bisector

Explanation:

The circumcircle of a triangle is constructed by finding the circumcenter. The circumcenter is the intersection of the perpendicular bisectors of the triangle's sides. A median connects a vertex to the mid - point of the opposite side. An altitude is a perpendicular segment from a vertex to the opposite side. A diagonal is not a relevant concept for a triangle (diagonals are for polygons with more than 3 sides). An angle bisector divides an angle into two equal parts. Only the perpendicular bisector is used in constructing the circumcircle.

Answer:

E. perpendicular bisector