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What is the intersection of perpendicular bisectors for any triangle called?
circumcenter
When constructing the circumcenter and circumscribed circle of a triangle you need to find the intersection of all three of which type of line?
the perpendicular bisector
How to find the the circumcenter of a triangle?
The circumcenter of a triangle is the center of a circle who's radius touches all three of the triangle's vertices. The circumcenter can be found using the intersection of 2 or more perpendicular bisectors. A bisector is a line perpendicular from the mid point of a triangle's line segment.To find the circumcenter of a triangle, create two bisectors by following these steps:StepsWith a compass, draw a circle from the first point in the triangle larger then the triangle.Draw the same size circle from point two.Draw the same size circle from point three.Draw a line from the two intersecting points of circle one and two.Draw a line from the two intersecting points of circle two and three.The intersection of the lines from step 4 and 5 will define the circumcenter of the triangle.
What is the circumcenter theorem?
The circumcenter of a triangle is equidistant from the vertices of a triangle.
What is the circumcenter of a triangle?
Circumcenter - the center of the circle that circumscribes the triangle, ie. goes through all its vertices.
