Geometry

Question Analysis

The main focus is to find the centroid of rectangle . We can use the formula for the centroid of a polygon, which involves averaging the - coordinates and - coordinates of its vertices. Since it's a rectangle, the centroid is also the intersection of its diagonals.

 

Key Concept Explanation

For a polygon with vertices having coordinates , , , , the coordinates of the centroid are calculated as and . In the case of a rectangle, this simplifies to averaging the coordinates of opposite vertices.

 

Step - by - Step Solution

1. Identify the coordinates of the vertices:

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