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What is a circumcircle of a triangle?
circumcircle of a triangle is the circle that passes through all 3 vertices. this circle is said to be circumscribe the triangle
If a circle is circumscribed around a triangle then how many of the triangle's vertices must it pass through?
Three
What is the circumcenter of a triangle?
Circumcenter - the center of the circle that circumscribes the triangle, ie. goes through all its vertices.
Is a circle can be drawn from the circumvention around a triangle intersecting the vertices?
No. Circumvention means to surround or to go around or bypass. It is not a geometric term and has nothing to do with a triangle. Having said that, a circle can be drawn from the circumcentre of any triangle so that it passes through the vertices of the triangle.
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.
What is a circle which passes through all the vertices of a triangle?
The circumscribing circle.
The circumcenter of a triangle is the center of the circle inscribed in the triangle?
The circumcenter of a triangle is the center of the circle drawn outside the triangle with all three vertices touching its circumference.
What is a circumcircle of a triangle?
circumcircle of a triangle is the circle that passes through all 3 vertices. this circle is said to be circumscribe the triangle
If a circle is circumscribed around a triangle then how many of the triangle's vertices must it pass through?
Three
What is the circumcenter of a triangle?
Circumcenter - the center of the circle that circumscribes the triangle, ie. goes through all its vertices.
What is the relationship between a triangle and chords in geometry?
In geometry, a chord is a line segment that connects two points on a circle. In a triangle, chords can be drawn connecting the vertices of the triangle to create a circumscribed circle that passes through all three vertices. This circle is called the circumcircle of the triangle.
Is a circle can be drawn from the circumvention around a triangle intersecting the vertices?
No. Circumvention means to surround or to go around or bypass. It is not a geometric term and has nothing to do with a triangle. Having said that, a circle can be drawn from the circumcentre of any triangle so that it passes through the vertices of the triangle.
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.
What is a characteristic of the circumcenter of a triangle?
equidistant from the 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.
When perpendicular bisectors of triangle share a common point of?
The perpendicular bisectors of a triangle intersect at a single point called the circumcenter. This point 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 position varies depending on the type of triangle: it lies inside an acute triangle, on the hypotenuse of a right triangle, and outside an obtuse triangle.
A polygon whose vertices lie on a circle?
triangle
