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Which theorem explains why the circumcenter is equidistant from the vertices of a triangle?
The theorem that explains why the circumcenter is equidistant from the vertices of a triangle is the Circumcenter Theorem. This theorem states that the circumcenter, which is the point where the perpendicular bisectors of a triangle intersect, is equidistant from all three vertices of the triangle. This is because the perpendicular bisectors of the sides of a triangle are equidistant from the endpoints of those sides, thus ensuring that the circumcenter maintains equal distances to each vertex.
What else can I help you with?
What is the circumcenter theorem?
The circumcenter of a triangle is equidistant from the vertices of a triangle.
The circumcenter of a triangle is the point equidistant from the vertices of the triangle?
True
What is a characteristic of the circumcenter of a triangle?
equidistant from the vertices
Is the circumcenter equidistant from each vertex of a triangle?
Yes, the circumcenter of a triangle is equidistant from each of the triangle's vertices. This point is the center of the circumcircle, which is the circle that passes through all three vertices of the triangle. Therefore, the radius of this circumcircle is the same for each vertex, making the distances from the circumcenter to each vertex equal.
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 the circumcenter theorem?
The circumcenter of a triangle is equidistant from the vertices of a triangle.
What is the Circumcenter Conjecture?
The circumcenter of a triangle is equidistant from the vertices.
The circumcenter of a triangle is the point equidistant from the vertices of the triangle?
True
What is a characteristic of the circumcenter of a triangle?
equidistant from the vertices
What is equidistant from the vertices of a triangle?
Circumcenter. Its constructed from the perp. bisectors of the traingle's segments.
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
The point equidistant from the three vertices is called?
circumcenter
What statement about the circumcenter of a triangle is true?
The circumcenter of a triangle is the point where the perpendicular bisectors of the triangle's sides intersect. It is equidistant from all three vertices of the triangle, making it the center of the circumcircle, which is the circle that passes through all three vertices. The circumcenter's location varies depending on the triangle type: it lies inside the triangle for acute triangles, on the triangle for right triangles, and outside for obtuse triangles.
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).
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.
Is the center of the circumscribed circle about a triangle is equal distance to the vertices of the inscribed triangle?
Yes, the center of the circumscribed circle (circumcenter) of a triangle is equidistant from all three vertices of the triangle. This property holds true because the circumcenter is defined as the point where the perpendicular bisectors of the sides of the triangle intersect. Consequently, each vertex of the triangle lies on the circumference of the circumscribed circle, maintaining equal distances from the circumcenter to each vertex.
Is the centroid equidistant from the vertices's of a triangle?
No. and it is not vertices's! vertices will do.
