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Yes, that's correct. The point of concurrency for the perpendicular bisectors of a triangle is called the circumcenter, and it is the center of the circumscribed circle of the triangle.
The intersection of the angle bisectors of a triangle is called the incenter. It is equidistant from the sides of the triangle and can be constructed by drawing the angle bisectors of the triangle's angles. The incenter is the center of the incircle, which is the circle inscribed within the triangle.
Yes, that is correct. Circles circumscribed about a given triangle will have centers that are equal to the incenter, which is the point where the angle bisectors of the triangle intersect. However, the radii of these circles can vary depending on the triangle's size and shape.
Actually, the orthocenter of a triangle is the point where the three altitudes of the triangle intersect. The altitudes are perpendicular lines drawn from each vertex to the opposite side. The angle bisectors of a triangle intersect at the incenter, not the orthocenter.
If two angle bisectors of a triangle are congruent, then the triangle is isosceles. This is because the angle bisectors of a triangle are concurrent and the angle bisectors of a triangle that are congruent divide the opposite sides of the triangle into two equal segments. So if two angle bisectors are congruent, the sides opposite those angles are also equal, making the triangle isosceles.
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
yes it is
The circumcenter, the incenter is the point of concurrency of the angle bisectors of a triangle.
It is the circumcentre.
circumcenter
circumcenter
Circumcenter.
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.
The three perpendicular bisectors (of the sides) of a triangle intersect at the circumcentre - the centre of the circle on which the three vertices of the triangle sit.
The incenter is the point of concurrency of the perpendicular bisectors of the triangle's sides
The point of concurrency of the altitudes in a triangle is the orthocenter, while the point of concurrency for the perpendicular bisectors is the centroid/circumcenter. Sorry if this is late! xD
Isometric, I think * * * * * An obtuse angled triangle.
The orthocentre (where the perpendicular bisectors of the sides meet).