Which of the following is the point of concurrency of the medians of the triangle?
A. The incenter
B. The circumcenter
C. The orthocenter
D. The centroid <<<
correct
The correct answer is D. The centroid.
To find the point of concurrency of the medians of a triangle, you need to know what medians are and how they intersect.
A median of a triangle is a line segment that connects a vertex of the triangle to the midpoint of the opposite side. Each side of a triangle has a corresponding median.
To find the point of concurrency of the medians, you can use the fact that the medians of a triangle always intersect at a point called the centroid. The centroid is the point of concurrency of the medians, which means that all three medians of a triangle intersect at this single point.
To find the centroid of a triangle, you can follow these steps:
1. Identify the three medians of the triangle. To do this, find the midpoint of each side of the triangle and draw a line segment connecting each vertex to its corresponding midpoint.
2. Find the point of intersection of the medians. This point is the centroid of the triangle.
In summary, the answer to the question is D. The centroid is the point of concurrency of the medians of a triangle, and you can find it by locating the point of intersection of the medians.