Circumcircle of a Triangle

The circum center of the right angled triangle lies at the _________ of the triangle.

• Midpoint of the base of the triangle

• Endpoint of the hypotenuse of the triangle

• Midpoint of the hypotenuse of the triangle

• Midpoint of the altitude of the triangle

Which construction is shown?

• perpendicular bisector of a line segment

• perpendicular to an external point

• segment bisector

What is the process used to find the circumcenter of a triangle?

• 1. Take the average of the coordinates of the three vertices

• 1. Use a protractor and a compass

• 1. Bisect two sides and find where their perpendicular bisectors intersect

• 1. Fit 3 circles centered around each vertex and find their intersection

The circumradius of a triangle is defined as _____.

• 1. the distance from the circumcenter to each of the apex points

• 1. the distance from the center of mass of the triangle to each apex point

• 1. the distance along each side of the triangle squared, divided by three

• 1. only possible to calculate using matrix algebra

The circumcircle of a triangle describes a circle that _____.

• lies inside the triangle, just touching each side

• contains all three vertices of the triangle

• has a radius that is one-half the average of the three sides of the triangle

• contains two unique vertices of the triangle