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.