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Q: The circumcenter of a triangle is the point equidistant from the vertices of the triangle?
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What is a characteristic of the circumcenter of a triangle?

equidistant from the vertices


The point equidistant from the three vertices is called?

circumcenter


Which point in a triangle is equidistant from the vertices's of the triangle?

Not sure about vertices's. The circumcentre is equidistant from a triangle's vertices (no apostrophe).


The circumcenter of a triangle is equidistant from the three vertices of the triangle?

This is true, by definition. Assume that there is a circle that passes through each vertex of a triangle. Then its centre, which we may call the circumcentre of the triangle, must be at an equal distance from each of the vertices because all of the points of the circle are at the same distance from this point.


What is a circumcenter of a triangle?

The point of concurrency (intersection) of 3 perpendicular bisectors (the lines that cut the sides of the triangle in half at a 90 degree angle...think of a plus sign--+) of a triangle. It's equidistant to the 3 vertices (points or ends) of the triangle.


What is the part of the triangle that is equidistant from the vertices of the triangle?

The centroid, which is the point where the medians meet.


What is the point equidistant from the 3 vertices of a triangle?

It is called the circumcentre.


2 The intersection point of concurrency of the three perpendicular bisectors is called the?

Circumcenter. The circumcenter of a triangle is the center of the circumcircle of the triangle. It is the point, O, at which the perpendiculars bisectors of the sides of a triangle are concurrent. The circumcircle of a triangle is the circle that passes through the three vertices. Its center is at the circumcenter.


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 point equidistant from the three sides of a triangle?

The point equidistant from the three sides of a triangle is the center of the triangle. The center of the triangle is the point of intersection of the medians of the triangle. The medians of a triangle are the line segments that join the vertices of the triangle to the midpoints of the opposite sides.


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.


Is the centroid of a triangle always the circumcenter of a triangle?

No way! An easy example is the centroid and circumcenter of a right-angle triangle. Circumcenter will be exactly on the middle of the hypotenuse which obviously cannot be the centroid. Centroid is the point where all three lines are connecting all the three vertices and the middle of the line opposite the respective vertex. Circumcenter is the center of the circle passing through all the vertices. As it is known, a right-angle triangle will always fall within a semicircle, meaning the circle center will always be on the middle of the hypotenuse.