Geometry

Question Analysis

The main focus is to find the centroid of rectangle . We'll use the formula for the centroid of a polygon, which is applicable here as the rectangle is a four - vertex polygon. By averaging the - coordinates and - coordinates of its vertices, we can determine the centroid.

Key Concept Explanation

For a polygon with vertices having coordinates , , , , the centroid coordinates are calculated as and . In the case of a rectangle, the centroid is the intersection of its diagonals, and this formula helps us find that point precisely.

Step - by - Step Solution

1. Identify the coordinates of the vertices:

From the graph, we can see that ,

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