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Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect?
Circumcenter
Name all types of triangles for which the point of concurrency is inside the triangle?
The answer depends on what point of concurrency you are referring to. There are four segments you could be talking about in triangles. They intersect in different places in different triangles. Medians--segments from a vertex to the midpoint of the opposite side. In acute, right and obtuse triangles, the point of concurrency of the medians (centroid) is inside the triangle. Altitudes--perpendicular segments from a vertex to a line containing the opposite side. In an acute triangle, the point of concurrency of the altitudes (orthocenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle. Perpendicular bisectors of sides--segments perpendicular to each side of the triangle that bisect each side. In an acute triangle, the point of concurrency of the perpendicular bisectors (circumcenter) is inside the triangle, in a right triangle it is on the triangle and in an obtuse triangle it is outside the triangle. Angle bisectors--segments from a vertex to the opposite side that bisect the angles at the vertices. In acute, right and obtuse triangles, the point of concurrency of the angle bisectors (incenter) is inside the triangle.
The point of concurrency for perpendicular bisectors of any triangle is the center of a circumscribed circle true or false?
The perpendicular bisector of ANY chord of the circle goes through the center. Each side of a triangle mentioned would be a chord of the circle therefore it is true that the perpendicular bisectors of each side intersect at the center.
What is the property of the point of concurency in perpendicular bisectors of a triangle?
circumcenter
What is the point that is equidistant from the sides of a triangle?
The incentre, the point where the bisectors of the angles meet.
At what point are the angle bisectors of a triangle concurrent?
Angle bisectors intersect at the incenter which is equidistant from the sides
What its it called when the angle bisectors of a triangle at a single point?
The point in which all the angle bisectors intersect is called the incenter.
What is the point where the three angle bisectors of a triangle intersect?
It is the incentre.
What is the intersection of the angle bisectors called?
The 3 angle bisectors of a triangle intersect in a point known as the INCENTER.
Do the 3 angle bisectors of a triangle intersect at a point in the exterior of the triangle?
No, never.
Is the three perpendicular bisector of a triangle intersect at a point in the exterior of the triangle true or false?
The three ANGLE bisectors of a triangle also bisect the sides, and intersect at a point INSIDE the triangle. The angle bisectors are not necessarily perpendicular to them. The perpendicular bisectors of the sides can intersect in a point either inside or outside the triangle, depending on the shape of the triangle.
What best describes the incenter of a triangle?
the point where the three angle bisectors of the triangle intersect
Which term describes the point where the three angle bisectors of a triangle intersect?
incenter
Ask us term describes the point where the three angle bisectors of a triangle intersect?
It is the incentre.
Does the angle bisector of a scalene triangle intersect at a single point?
No, the angle bisector of a scalene triangle actually intersects at two points, the point between the two points and the vertex formed by two lines of a scalene triangle. * * * * * On an alternative interpretation of the question, the three angle bisectors of any triangle always intersect at a point which is called the incentre.
The angle bisectors of a triangle share a common point of what?
The three bisectors meet at a point which is the centre of the circle. is you draw the circle that has that point as centre and 1 of the corners as a point on the circle, all corners will be on the circle
What do you called the intersection point of angle bisector?
The three angle bisectors in a triangle always intersect in one point, and this intersection point always lies in the interior of the triangle. The intersection of the three angle bisectors forms the center of the circle in- scribed in the triangle. (The circle which is tangent to all three sides.) The angle bisectors meet at the incenter which has trilinear coordinates.
