Question

The point of concurrency of median of a triangle is called ___________.
A. Incenter
B. Orthocenter
C. Circumcenter
D. centroid

Answer 1

Hint: We first analyze all the choices with-respect-to the given condition. Then using the diagram we’ll see what the following option meant and then Choose the most accurate one among them.

Complete step by step Answer:

Incenter:
In geometry, the incenter of a triangle is a triangle center, a point defined for any triangle in a way that is independent of the triangle's placement or scale. It is the point of intersection of the angle bisector of the three angles of the triangle.

Orthocenter:
The orthocenter is the point where all the three altitudes of the triangle cut or intersect each other. Here, the altitude is the line drawn from the vertex of the triangle and is perpendicular to the opposite side. Since the triangle has three vertices and three sides, therefore there are three altitudes

Circumcenter:
The circumcenter of a triangle is defined as the point where the perpendicular bisectors of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcenter.

Centroid:
The centroid is the center point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangle.

So, The point of concurrency of the median of a triangle is called the centroid.
Hence, option (d) is correct.


Note: These definitions are easy to remember and also quite easy to deal with. Try to remember them in your way by making your shortcuts, all the Centre have their distinct role, and properties are very important to know if you are studying the properties of a triangle.