Question

1. a(n) ______________ is equidistant from the vertices of a triangle.

options:

• circumcenter
• medians
• altitudes

Explanation:

• The circumcenter is the intersection of a triangle's perpendicular bisectors, and by definition, it is equidistant from all three vertices of the triangle.
• Medians are line segments from vertices to midpoints of opposite sides; their intersection (centroid) is not equidistant to vertices.
• Altitudes are perpendicular segments from vertices to opposite sides; their intersection (orthocenter) is not equidistant to vertices.

Answer:

circumcenter