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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.

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Q: The point of concurrency for perpendicular bisectors of any triangle is the center of a circumscribed circle true or false?
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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.


What is the property of the point of concurency in perpendicular bisectors of a triangle?

circumcenter


Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect?

Circumcenter


Prove that the tangent at a to the circumcircle of triangle abc is parallel to bc where triangle abc is a isosceles triangle?

The circumcircle of a triangle is the circle that passes through the three vertices. Its center is at the circumcenter, which is the point O, at which the perpendicular bisectors of the sides of the triangle are concurrent. Since our triangle ABC is an isosceles triangle, the perpendicular line to the base BC of the triangle passes through the vertex A, so that OA (the part of the bisector perpendicular line to BC) is a radius of the circle O. Since the tangent line at A is perpendicular to the radius OA, and the extension of OA is perpendicular to BC, then the given tangent line must be parallel to BC (because two or more lines are parallel if they are perpendicular to the same line).


The point of concurrency of three altitudes of a triangle?

Orthocenter of a triangle

Related questions

Is the point of concurrency for perpendicular bisectors of any triangle the center of a circumscribed circle?

yes it is


The point of concurrency for perpendicular bisectors of any triangle is the center of a circumscribed circle?

true


What is the point of concurrency of the perpendicular bisectors of a triangle called?

The circumcenter, the incenter is the point of concurrency of the angle bisectors of a triangle.


What is point of concurrency of perpendicular bisectors of a triangle?

It is the circumcentre.


The point of concurrency of the perpendicular bisectors of a triangle?

circumcenter


What is the point of concurrency of the perpendicular bisectors of a triangle?

circumcenter


The point of concurrency of the perpendicular bisectors of a triangle is called?

Circumcenter.


What point of concurrency of the perpendicular bisectors of a triangle?

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.


How do you find the incenter?

The incenter is the point of concurrency of the perpendicular bisectors of the triangle's sides


What is the point of concurrency of an altitude of a triangle?

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


If the point of concurrency of the perpendicular bisectors of a triangle lies outside the triangle what type of triangle is it?

Isometric, I think * * * * * An obtuse angled triangle.


Which points of concurrency may lie outside the triangle?

The orthocentre (where the perpendicular bisectors of the sides meet).