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What is the point where the angle bisectors meet?
The circumcenter also called incenter. Whichever one you like the best out of these 2.* * * * *Not true!It is the incentre. The circumcentre is where the perpendicular bisectors of the sides meet.Using the incentre as centre, you can draw a circle to which all three sides of the triangle are tangents. The circle is the biggest circle that will fit IN the triangle.Using the circumcentre as centre, you can draw a circle which passes through all three vertices of the triangle. The circle is the smallest circle that will contain (circumscribe) the triangle.
What is a segment that passes through the center of a circle and has both endpoints on the circle?
A diameter is a segment that passes through the center of a circle and has both endpoints on the circle.
What do a triangle and a hexagon have in common?
Both are polygonsBoth have three or more sidesBoth have vertices-- answer --They have sides and angles.They have 3x sides and 3x angles: for a triangle x = 1, for a hexagon, x = 2If their sides are all the same length, a circle can be described which passes through all their angles.They are both polygons. Anything more depends on the exact nature of the figures.
What is a line that passes through the center of a circle?
Any line that passes through a circle and touches two points on its circumference is a secant line. (Recall that a line is infinitely long.) If the line passes through the center of the circle, it is still called a secant line. Compare this to a line segment that has its endpoints on the circumference of the circle. That line segment is called the cord of the circle. If that cord passes through the center of the circle, it is a diameter of the circle, which is the longest cord of that circle.
Does a secant tangent angle pass through the center of the circle?
Neither secant nor tangent pass through the center of a circle. A secant passes through one point on the circle and the tangent passes through two points on a circle.
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
What is the name of a circle that lies outside of the triangle and passes through all vertices of the triangle?
The triangle that has all three vertices touching the circle is called an 'inscribed triangle.' The circle has no special name, only the polygon inscribed.
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 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.
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
Which term describes the point where the perpendicular bisector of the three sides of a triangle intersect?
It is the circumcentre, the unique point from which you can draw a circle (the circumscribed circle) which passes through all three vertices.
Which term best describes the point where the perpendicular bisectors of the three sides of a triangle intersect?
It is the circumcentre, the unique point from which you can draw a circle (the circumscribed circle) which passes through all three vertices.
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.
Is it possible to draw a circle that passes through each of the verties of the triangle?
yes
What is the name of that radius which passes through the center of gravity?
Centre of area of a triangle is the centre point for a circumscribed radius which will pass through all 3 vertices of the triangle.
What is the relationship between circles and triangles?
Circles and triangles are geometric shapes with distinct properties, but they can be related through various geometric principles. For example, a circle can be inscribed in a triangle or a triangle can be inscribed in a circle. Additionally, the circumcircle of a triangle is a circle that passes through all three vertices of the triangle. These relationships demonstrate the interconnected nature of geometric shapes and the principles that govern their properties.
