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Why must the intersection of the three lines be the centre of gravity?
Wiki User
∙ 10y ago
It need not be - it depends on what the three lines are!
Wiki User
∙ 10y ago
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Is the angle bisector also the median in an equilateral triangle?
No. The angle bisector is a line. Where the three lines meet is the median. In an equilateral triangle the INTERSECTION of the angle bisectors is the median.
What is the intersection of the three altitudes of a triangle?
orthocenter
What is the point of intersection for the three symmetry lines in an equilateral triangle?
This point "p" identifies a geometric location known, in association with each of the three "normals" which communicate with each other from their three respective vertices perpendicular to their three respective sides, as the "procedure". The normal geometric procedure of an equilateral triangle exists in a state of perfect equilibrium and divides each of the three normals in a ratio of 2:1. It is also the centre of the circle which communicates with all three vertices of the triangle, and it therefore follows that two-thirds of each normal of an equilateral triangle is a radius of the circle which contains it.
What is the intersection of the three medians of a triangle called?
centroid
What is the intersection of a three dimensional figure and a plane?
cross section
Why is the intersection of the three lines the center of gravity using the plumb line experiment?
the centre of gravity lies on one of the lines due to the
Why can three coplanar lines have zero one two or three points of intersection?
If all three lines are parallel, there are zero points of intersection. If all three lines go through a point, there is one point of intersection. If two lines are parallel and the third one crosses them, there are two. If the three lines make a triangle, there are three points.
What is center of gravity of a triangle?
The center of gravity of a triangle is its centroid. The centroid of a triangle is the intersection of the three medians.
When three or more lines meet at the same point?
intersection
How do you sketch a three planes whose intersection is a point?
If you draw a capital "Y" with say each angle = 120 degrees, then the three lines will represent where the edges of the planes meet each other and the centre point will be the vertex where the three planes intersect. You are basically looking at the corner of a cube at an angle. If you connect the ends of the three lines you will be looking down at a triangular pyramid (three faces with three edges and the vertex in the centre).
What do you call the point of intersection of three concurrent lines?
the point of concurrency
Do three lines intersect in only one point?
It's possible, but for any three lines in the same plane, there could be ether one point of intersection (unlikely) or three (more probably).
What is the Euler line?
In any triangle that is not equilateral, the Euler line is the straight line passing through the orthocentre, circumcentre and centroid. In an equilateral triangle these three points are coincident and so do not define a line.Orthocentre = point of intersection of altitudes.Circumcentre = point of intersection of perpendicular bisector of the sides.Centroid = point of intersection of medians.Euler proved the collinearity of the above three. However, there are several other important points that also lie on these lines. Amongst them,Nine-point Centre = centre of the circle that passes through the bottoms of the altitudes, midpoints of the sides and the points half-way between the orthocentre and the vertices.
Lines m and n are parallel if lines m and n are cut by three different transversals which also what is the least number of points of intersection that can occur among five lines?
four
Point intersection and a point concurrency?
Point of intersection is where the point where 2 lines or a line and a plane meet, or in a 3-dimensional space three planes meet, or any other graphs that intersect in a point.Point of concurrency is the intersection point of concurrent lines.In geometry, two or more lines are said to be concurrent if they all pass through a single point.For example, the perpendiculars bisectors of the sides of a triangle are concurrent and they meet at the point of concurrency.So point of intersection may be the same as point of concurrency, but when it comes to examples other than lines, point of intersection is often used. When it comes to just lines, either one is ok.
Where would a circumcenter of a circle be found?
The circumcenter of a triangle is the point of intersection of three lines drawn at right angles through the midpoints of each side.
Do three lines intersects at only one point?
yes, if it happened that they all intersected at the same point. otherwise,three lines, assuming they are non-parallel or they do not coincide, would have at most two intersection points (one for each other line)
