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monique robles

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Q: Which segments, rays, or lines in a triangle do not meet at a point of concurrency?
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What is the definition of point of concurrency?

A point of concurrency is a point where three or more lines, segments, or rays intersect or meet. Common points of concurrency in geometry include the centroid, circumcenter, incenter, and orthocenter of a triangle.


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.


Is it true that the point of concurrency of any triangle only happens inside the triangle?

Depends on the point of concurrency of what. The point of concurrency of altitudes will be outside in any obtuse triangle.


What is the point of concurrency of the altitudes of a triangle is called the?

the point of concurrency of the altitudes of a triangle is called the orthocenter.


The Point of Concurrency of the Angle Bisectors of a Triangle?

The point of concurrency is the point intersection.


Which point of concurrency in a triangle is sometimes called the center of gravity of the triangle?

The point where the lines which connect one vertex of the triangle and the middle of the opposite side intersect.


What is the point of concurrency of the three altitudes of a triangle called?

the point of concurrency of the altitudes of a triangle is called the orthocenter.


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

circumcenter circumcenter is wrong, it is the incenterbecause the point of concurrency is always on the inside of the triangle.


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


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 the Point of concurrency of the medians of a triangle?

The point of concurrency of the medians of a triangle is called the centroid. It is the point where all three medians intersect each other. The centroid divides each median into two segments, with the segment closer to the vertex being twice as long as the other segment.


How do you find the orthocenter of a triangle?

The orthocenter is the point of concurrency of the altitudes in a triangle. A point of concurrency is the intersection of 3 or more lines, rays, segments or planes. The orthocenter is just one point of concurrency in a triangle. The others are the incenter, the circumcenter and the centroid.My daughter's math teacher recommended the following site, which was enormously helpful for her. Here's a link to the 'orthocenter' topic, and you can find a bunch of other math topic videos there. It is all free. Hope it will help.http://www.brightstorm.com/d/math/s/geometry/u/constructions/t/constructing-the-orthocenter