Question

When the three medians of the triangle are drawn, they meet at a single point. What is the point of the centroid?
(1 point)
B.(3,5)
C.(10/3, 13/3)
D (3, ⅓)
A (3, 6)

Answer 1

The point where the three medians of a triangle meet is called the centroid. The centroid is found by taking the average of the vertex coordinates of the triangle.

To determine which of the provided options is the centroid, let's calculate the centroid of a triangle defined by its vertices. However, since the vertices are not provided, I'll explain how to find the centroid:

If you have vertices \( A(x_1, y_1) \), \( B(x_2, y_2) \), and \( C(x_3, y_3) \), the coordinates of the centroid \( G \) can be calculated as:

\[
G\left(\frac{x_1 + x_2 + x_3}{3}, \frac{y_1 + y_2 + y_3}{3}\right)
\]

To pick the correct answer from the options, the coordinates of the triangle's vertices would be needed to determine the centroid. Without this information, I can’t definitively say which option is the centroid.

If you provide the vertices of the triangle, I can help calculate the centroid and compare it with the provided options. Alternatively, if you're asking which given option could possibly be the centroid of some triangle, it would depend on the triangle formed by its vertices.

Let me know how you would like to proceed!