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What is the only type of triangle where all four points of concurrency are exactly the same?
Equilateral.
Which points of concurrency may lie outside the triangle?
The orthocentre (where the perpendicular bisectors of the sides meet).
What is the point where the altitudes of a triangle meet called?
The point where the altitudes of a triangle meet is called the orthocenter. This point can be located inside the triangle for acute triangles, on the triangle for right triangles, and outside the triangle for obtuse triangles. The orthocenter is one of the four main points of concurrency in a triangle, alongside the centroid, circumcenter, and incenter.
What does orthocenter circumcenter centroid have in common?
they are all points of concurrency
Is a triangle a plane figure?
well yes, obviously. A triangle constitutes of three points, and you can always find a plane that traverses those three points.
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.
What is the only type of triangle where all four points of concurrency are exactly the same?
Equilateral.
Which points of concurrency may lie outside the triangle?
The orthocentre (where the perpendicular bisectors of the sides meet).
What is the purpose of an orthocenter?
In short, the orthocenter really has no purpose. There are 4 points of Concurrency in Triangles: 1) The Centroid - the point of concurrency where the 3 medians of a triangle meet. This point is also the triangle's center of gravity. 2) The Circumcenter - the point of concurrency where the perpendicular bisectors of all three sides of the triangle meet. This point is the center of the triangle's circumscribed circle. 3) The Incenter - the point of concurrency where the angle bisectors of all three angles of the triangle meet. Like the circumcenter, the incenter is the center of the inscribed circle of a triangle. 4) The Orthocenter - the point of concurrency where the 3 altitudes of a triangle meet. Unlike the other three points of concurrency, the orthocenter is only there to show that altitudes are concurrent. Thus, bringing me back to the initial statement.
The point of concurrency of the medians of a triangle?
the centroid. here are all the points of concurrency: perpendicular bisector- circumcenter altitudes- orthocenter angle bisector- incenter median- centroid hope that was helpful :)
Which three points of concurrency always lie on euler's line?
Circumcenter, Incenter and Centroid.
What is a circumcenter of a triangle?
The point of concurrency (intersection) of 3 perpendicular bisectors (the lines that cut the sides of the triangle in half at a 90 degree angle...think of a plus sign--+) of a triangle. It's equidistant to the 3 vertices (points or ends) of the triangle.
What is the answer to the euler line segment conjecture?
The centroid, circumcenter and orthocenter are the 3 points of concurrency that always lie on a line.
Basic and secondary parts of a triangle?
A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted ABC.In Euclidean geometry any three non-collinear points determine a unique triangle and a unique plane (i.e. a two-dimensional Euclidean space).the secondary parts of the trianglemedian - a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite sideangle bisector - a segment which bisects an angle and whose endpoints are a vertex of the triangle and a point on the opposite sidealtitude - a segment from the vertex of the triangle perpendicular to the line containing the opposite sideperpendicular bisector - a line whose points are equidistant from the endpoints of the given sideincenter - the point of concurrency of the three angle bisectors of the trianglecentroid - the point of concurrency of the three medians of the triangleorthocenter - the point of concurrency of the three altitudes of the trianglecircumcenter - the point of concurrency of the three perpendicular bisectors of the sides of the triangle
How does the points of concurrency in triangles solve problems?
a\jghfgkk
What are secondary parts of a triangle in geometry?
A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted ABC.the secondary parts are at the bottom.the secondary parts of the trianglemedian - a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite sideangle bisector - a segment which bisects an angle and whose endpoints are a vertex of the triangle and a point on the opposite sidealtitude - a segment from the vertex of the triangle perpendicular to the line containing the opposite sideperpendicular bisector - a line whose points are equidistant from the endpoints of the given side.incenter - the point of concurrency of the three angle bisectors of the trianglecentroid - the point of concurrency of the three medians of the triangleorthocenter - the point of concurrency of the three altitudes of the trianglecircumcenter - the point of concurrency of the three perpendicular bisectors of the sides of the triangle .by merivic lacaya and acefg123ZNNHS Student. Toronto university student
What does orthocenter circumcenter centroid have in common?
they are all points of concurrency
