No, the angle bisector of a scalene triangle actually intersects at two points, the point between the two points and the vertex formed by two lines of a scalene triangle.
* * * * *
On an alternative interpretation of the question, the three angle bisectors of any triangle always intersect at a point which is called the incentre.
Forms a 90 degree angle
Any triangle has 3 medians Another answer (depending on what you are looking for) is that a triangle has concurrent medians (which means all three medians intersect at a single point).
The point in which all the angle bisectors intersect is called the incenter.
An equilateral triangle has six symmetries, and an isosceles triangle has two. An isosceles triangle has a single axis of symmetry, the perpendicular bisector of the non-congruent side. This is a reflection symmetry. An equilateral triangle has rotational symmetry as well as reflection symmetry. It is invariant under rotations by 120 degrees.
Yes, perpendicular lines do intersect at a single point. Think of the line representing the x-axis, and the line representing the y-axis. These two lines are perpendicular, and they intersect at the Origin (a single point).
never
Yes. Medians always intersect in a single point, called the centroid, or geocenter.
Forms a 90 degree angle
The point where the altitudes of a triangle intersect is called the orthocenter. This point is concurrent, meaning the three altitudes intersect at this single point inside or outside the triangle. The orthocenter is different from the centroid, circumcenter, and incenter of a triangle.
the definition of an angle bisector is a line that divides an angle into two equal halves. So you need only invoke the definition to prove something is an angle bisector if you already know that the two angles are congruent.
Any triangle has 3 medians Another answer (depending on what you are looking for) is that a triangle has concurrent medians (which means all three medians intersect at a single point).
The point in which all the angle bisectors intersect is called the incenter.
It will if isosceles or equilateral. The first will have a single line: the bases' perpendicular bisector produced through the apex. The second will have 3 in the same way.
An equilateral triangle has six symmetries, and an isosceles triangle has two. An isosceles triangle has a single axis of symmetry, the perpendicular bisector of the non-congruent side. This is a reflection symmetry. An equilateral triangle has rotational symmetry as well as reflection symmetry. It is invariant under rotations by 120 degrees.
No, only three lines can intersect at a single point.
false they intersect at a single point
two lines intersect at a single point in a 2D space assuming they are not parallel. in 3D space they can intersect again at a single point, or an infinite amount of points.