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It identifies the point which is equidistant from the three vertices of the triangle. If, for example, you wanted to locate a phone mast to supply three remote locations, a good starting point would be to find somewhere which is at or very close to the circumcentre. Of course, local geography (hills, for example) would have to be taken into account.
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What is the property of the point of concurency in perpendicular bisectors of a triangle?
circumcenter
If D is the circumcenter of ABC what is the measure of XEZ?
110 degrees
What is a perpendicular bisector concurrency conjecture?
The Perpendicular bisector concurrency conjecture is the circumcenter
Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect?
Circumcenter
What is the answer to the euler line segment conjecture?
The centroid, circumcenter and orthocenter are the 3 points of concurrency that always lie on a line.
What is the distance between the centroid and the circumcenter?
# First find the circumcenter & centroid. # subtract centroid from circumcenter.
What is the Circumcenter Conjecture?
The circumcenter of a triangle is equidistant from the vertices.
What is the purpose of a circumcenter Why do you use it?
Once the circumcenter is found, each segment connecting each point of the triangle to the cirumcenter are equivalent, so you can put something equidistant to 3 places. Like a hospital equidistant to 3 cities.
What is the circumcenter theorem?
The circumcenter of a triangle is equidistant from the vertices of a triangle.
Does a circumcenter stay inside the triangle at all times?
The circumcenter can be inside or outside the triangle.
What is the definition of circumcenter?
The circumcenter is the center of a triangle's circumcircle. It can be found as the intersection of the perpendicular bisectors.
What is the circumcenter of a triangle?
Circumcenter - the center of the circle that circumscribes the triangle, ie. goes through all its vertices.
Is median and circumcenter the same?
no
What are properties of the circumcenter of a triangle?
When a circle is drawn around a triangle touching each of its 3 vertices the circumcenter of the triangle is found by drawing 3 perpendicular lines at the midpoint of each of its sides and where these lines intersect within the triangle is its circumcenter.Apex: A. The circumcenter is equidistant from each vertex of the triangle. B. The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides. C. The circumcenter of an obtuse triangle is always outside it.
Can an incenter also be a circumcenter?
Yes it can.
What triangle is the point of concurrency of the angle bisectors of a triangle?
circumcenter circumcenter is wrong, it is the incenterbecause the point of concurrency is always on the inside of the triangle.
Why is it called circumcenter?
The circumcenter of a triangle is the center of a circle circumscribed around a triangle with each of the vertices of the triangle touching the circumference of the circle.
