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What is a characteristic of the circumcenter of a triangle?
equidistant from the vertices
Which term describes the point where the perpendicular bisectors of the sides of a triangle intersect?
The point where the perpendicular bisectors of the sides of a triangle intersect is called the circumcenter. This point is equidistant from all three vertices of the triangle and serves as the center of the circumcircle, which is the circle that passes through all the vertices of the triangle.
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 is the center of a circumscribed cirlce of a triangle called?
It is called the circumcenter of the triangle. . The circumcenter is equidistant from the three vertices, and so the common distance is the radius of a circle that passes through the vertices. Another name for it is the circumcircle
What is equidistant from the three sides of the triangle?
It is the point known as the incentre.
What is a characteristic of the circumcenter of a triangle?
equidistant from the vertices
Which term describes the point where the perpendicular bisectors of the sides of a triangle intersect?
The point where the perpendicular bisectors of the sides of a triangle intersect is called the circumcenter. This point is equidistant from all three vertices of the triangle and serves as the center of the circumcircle, which is the circle that passes through all the vertices of the triangle.
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 is the center of a circumscribed cirlce of a triangle called?
It is called the circumcenter of the triangle. . The circumcenter is equidistant from the three vertices, and so the common distance is the radius of a circle that passes through the vertices. Another name for it is the circumcircle
A set of three points equidistant around a point is called an?
A set of three points equidistant around a point is called an equilateral triangle. In geometry, an equilateral triangle is a triangle in which all three sides are equal in length. The angles in an equilateral triangle are also equal, each measuring 60 degrees.
What is equidistant from the three sides of the triangle?
It is the point known as the incentre.
What were the three point of the triangle?
Vertices
What is the point of a triangle called?
A triangle is a polygon and one of the basic shapes in geometry with three edges and three vertices. The points of edges of a triangle are known as angles, corners or vertices.
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 shapes have no vertices?
Spheres are the only shapes that have no vertices. A sphere is a three-dimensional shape that is perfectly round, with all points on its surface equidistant from its center. Unlike other three-dimensional shapes such as cubes or pyramids, spheres do not have any corners or vertices where edges meet.
What is the purpose of locating the circumcenter?
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.
What is a three-dimensional surface in which all points are equidistant from a fixed point?
A 'spherical' surface.
