Question
What is the point of the centroid, (2,3) (2-1) (-3,-1)
Answers
GPT-4o mini
To find the centroid of a set of points, you average the x-coordinates and the y-coordinates of the points. You provided the points (2, 3), (2, -1), and (-3, -1).
Let's denote these points as follows:
- Point A: (2, 3)
- Point B: (2, -1)
- Point C: (-3, -1)
Now, we can calculate the centroid (X, Y) using the following formulas:
\[
X = \frac{x_1 + x_2 + x_3}{3}
\]
\[
Y = \frac{y_1 + y_2 + y_3}{3}
\]
Substituting in the coordinates:
1. For the x-coordinate:
\[
X = \frac{2 + 2 + (-3)}{3} = \frac{1}{3} \approx 0.33
\]
2. For the y-coordinate:
\[
Y = \frac{3 + (-1) + (-1)}{3} = \frac{1}{3} \approx 0.33
\]
Therefore, the centroid of the points is approximately \((0.33, 0.33)\).
Let's denote these points as follows:
- Point A: (2, 3)
- Point B: (2, -1)
- Point C: (-3, -1)
Now, we can calculate the centroid (X, Y) using the following formulas:
\[
X = \frac{x_1 + x_2 + x_3}{3}
\]
\[
Y = \frac{y_1 + y_2 + y_3}{3}
\]
Substituting in the coordinates:
1. For the x-coordinate:
\[
X = \frac{2 + 2 + (-3)}{3} = \frac{1}{3} \approx 0.33
\]
2. For the y-coordinate:
\[
Y = \frac{3 + (-1) + (-1)}{3} = \frac{1}{3} \approx 0.33
\]
Therefore, the centroid of the points is approximately \((0.33, 0.33)\).