Define circumcenter of a triangle.
Understand the Problem
The question is asking for a definition of the circumcenter of a triangle, which is the point where the perpendicular bisectors of the sides of the triangle intersect and is equidistant from all three vertices of the triangle.
Answer
The intersection point of a triangle's perpendicular bisectors.
The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of the triangle intersect.
Answer for screen readers
The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of the triangle intersect.
More Information
The circumcenter is equidistant from all three vertices of the triangle and serves as the center of the triangle's circumcircle.
Tips
Students often mistakenly confuse the circumcenter with other centers of the triangle such as the centroid or orthocenter.
Sources
- Circumcenter of a triangle - byjus.com
- Circumcenter of Triangle - Definition, Properties, and Examples - cuemath.com
- Circumcenter Definition & Meaning - Merriam-Webster - merriam-webster.com