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Name the 4 points of concurrence in triangles?
When three or more lines intersect at one point, then they are considered concurrent.The four points of concurrence in triangles are the circumcenter, incenter, centroid, and orthocenter.
What is concurrent line?
Concurrent lines are three or more lines that intersect at a single point in a plane. This point of intersection is known as the point of concurrency. Concurrent lines are often discussed in geometry, particularly in the context of triangles, where important points like the centroid, orthocenter, and circumcenter are formed by concurrent lines drawn from the triangle's vertices or sides.
What are the four points of concurrence in a triangle?
Circumcenter, incenter, orthocenter and centroid.
What are non concurrent lines and points?
In geometry, two or more lines are said to be concurrent if they intersect at a single point. If they do not intersect at the single point they are non concurrent.
How many triangles can be formed with 8 points?
Six triangles
What is the number of the triangles for five?
The number of triangles that can be formed using five points in a plane depends on the arrangement of those points. If the five points are in general position (no three points are collinear), the number of triangles can be calculated using the combination formula ( \binom{n}{r} ), where ( n ) is the total number of points and ( r ) is the number of points to choose. Therefore, the number of triangles formed by five points is ( \binom{5}{3} = 10 ). If some points are collinear, the number of triangles would be fewer.
What are Lines that are neither concurrent nor skew are?
parallel
How many points define a plan?
4 points define a plane.
Can two points determine a plane?
No, 2 points define a line, 3 points define a plane.
How many triangles can be formed out of 8 non collinear points?
64 triangles
What is the least number of points in which two triangles can intersect?
There are two ways to think of this question, if the triangles don't have to intersect then the answer is zero. If the triangles have to intersect, then the minimum number of points is one, if the triangles meat at vertex to edge or vertex to vertex.
Does a plane have only two points?
No, two points define a line. It takes three points to define a plane.
