What is the Circumcenter of a Triangle?

What is the Circumcenter of a Triangle?

Note:

This tutorial explains the ins and outs of the circumcenter of a triangle. You'll see how to build up from the Perpendicular Bisector Theorem to find the circumcenter of a triangle.

Keywords:

  • definition
  • perpendicular bisector theorem
  • perpendicular bisector
  • concurrency
  • point of concurrency
  • triangle
  • triangle circumcenter

Background Tutorials

  • Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.

      • What are Acute, Obtuse, and Right Triangles?What are Acute, Obtuse, and Right Triangles?

      What are Acute, Obtuse, and Right Triangles?

      Did you know that there are different kinds of triangles? Knowing how to identify these triangles is an important part of solving many problems involving these triangles. Check out this tutorial and learn about some of the different kinds of triangles!

  • Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

      • What is a Circle?What is a Circle?

      What is a Circle?

      Circles are a fundamental part of math! In this tutorial, you'll be introduced to circles and see the different parts of a circle such as the diameter, radius, and chord. Check out this tutorial to learn about circles!

  • Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.

      • What is a Triangle?What is a Triangle?

      What is a Triangle?

      You can't learn everything about math without dealing with triangles. Did you know that there are different types of triangles? Check out this tutorial, and learn about triangles and their different types!

  • Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints.

      • What is a Perpendicular Bisector?What is a Perpendicular Bisector?

      What is a Perpendicular Bisector?

      Looking at the term 'perpendicular bisector', you can bet it has something to do with perpendicular lines! This tutorial talks all about perpendicular bisectors and shows you exactly what the term means.

Further Exploration

  • Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°

      • What is the Incenter of a Triangle?What is the Incenter of a Triangle?

      What is the Incenter of a Triangle?

      The incenter of a triangle deals with the angle bisectors of a triangle. This tutorial shows you how to find the incenter of a triangle by first finding the angle bisectors.