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What is the center of balance of a triangle?

centroid

What is median of a triangle?

The definition of a median is the line segment from a vertex to the midpoint of the opposite side. It is also an angle bisector when the vertex is an angle in an equilateral triangle or the non-congruent angle of an isoceles triangle.

What are the four centers of a triangle?

The four ancient centers are the triangle centroid, incenter, circumcenter, and orthocenter.

What is the middle of the triangle called?

The orthocenter is the center of the triangle created from finding the altitudes of each side. The altitude of a triangle is created by dropping a line from each vertex that is perpendicular to the opposite side. An altitude of the triangle is sometimes called the height.

What is the intersection of altitudes of a triangle?

The orthocenter is the point of intersection of the altitudes of the triangle, that is, the perpendicular lines between each vertex and the opposite side.

What is the intersection of the three perpendicular bisectors in a triangle?

The three perpendicular bisectors of the sides of a triangle meet in a single point, called the circumcenter . A point where three or more lines intersect is called a point of concurrency. So, the circumcenter is the point of concurrency of perpendicular bisectors of a triangle.

What are the properties of the in center of a triangle?

9) Properties of centroid of a triangle

  • It is the intersection of three medians of a triangle.
  • It is a point of congruency of a triangle.
  • It is always on the inside of a triangle.
  • It acts as the centre of gravity of a triangle.
  • It divides each median in the ratio 2:1.

Which of the following are properties of the in center of a triangle?

The incenter of a triangle is always inside it. The point of intersection of the three angle bisectors is called its incenter. The angle bisectors of a triangle are the lines that divide an angle into two equal angles. The incenter is the center of the circle inscribed in the triangle.

Under what circumstances is the Incenter inside the triangle?

The incenter is one of the triangle’s points of concurrency formed by the intersection of the triangle’s 3 angle bisectors. If the triangle is obtuse, such as the one on pictured below on the left, then the incenter is located in the triangle’s interior.

What type of lines are in a triangle?

The division of triangles into scalene, isosceles, and equilateral can be thought of in terms of lines of symmetry. A scalene triangle is a triangle with no lines of symmetry while an isosceles triangle has at least one line of symmetry and an equilateral triangle has three lines of symmetry.