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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 plumb line experiment involves suspending weights from three points and the intersection of the three lines created by the weights is considered the center of gravity because it represents the point where the total weight of the system acts as if all the weight were concentrated at that point. This is due to the balancing of the torques created by the weights acting on the system.
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.
Why must the intersection of the 3 lines be the center of GRAVITY of the irregularly shaped lamina?
The intersection of the three lines represents the point where the lamina would balance perfectly if placed on a pin. This point is the center of gravity because it is the average position of all the mass in the lamina, considering both their magnitude and distribution. The center of gravity is a key concept in physics to understand the equilibrium and stability of an object.
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).
When three or more lines meet at the same point?
intersection
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.
What do you call the point of intersection of three concurrent lines?
the point of concurrency
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.
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).
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
How do you find centre of gravity of regular shape by experimentation?
To find the center of gravity of a regular shape through experimentation, you can balance the shape on a pivot point and observe where it remains stable without tilting. Repeat this process at least three times to increase accuracy. The point where the shape balances consistently is the center of gravity.
Point intersection and a point concurrency?
A point intersection occurs when two or more lines meet at a single point. In contrast, a point concurrency involves three or more lines intersecting at a common point. Both concepts are fundamental in geometry and play a key role in defining relationships between lines and shapes.
