witch one is right

Question

Use the image to answer the question.

A coordinate plane's axes range from 0 to 7, both by 1-unit increments. A triangle made up of vertices upper A, upper B, and upper C is plotted, and the coordinates of the points are given.

When the three medians of the triangle are drawn, they meet at a single point. What is the point of the centroid?

(1 point)
Responses

(3,6)
left parenthesis 3 comma 6 right parenthesis

(3,5)
left parenthesis 3 comma 5 right parenthesis

(3,143)
left parenthesis 3 comma start Fraction 14 over 3 End Fraction right parenthesis

(103,133)
left parenthesis Start Fraction 10 over 3 End Fraction comma Start Fraction 13 over 3 End Fraction right parenthesis

Answer 1

To find the centroid of a triangle defined by its vertices A, B, and C with coordinates, you can use the formula for the centroid, which is given by:

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

Where \((x_1, y_1)\), \((x_2, y_2)\), and \((x_3, y_3)\) are the coordinates of the vertices of the triangle.

However, since I don't have the specific coordinates of points A, B, and C from the image, I can't calculate the centroid directly.

Please provide the coordinates of the triangle's vertices, and I will be happy to calculate the centroid for you!