Question

A rectangle has its vertices at the following coordinates: , , , and . What are the coordinates of the center of the rectangle?

Ask by Wood Christensen. in Greece
Jan 18,2025

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Answer

The center of the rectangle is at .

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Mind Expander

To find the center of the rectangle, you can calculate the midpoint of the diagonals. The diagonals of the rectangle are AC and BD.
The coordinates of points A and C are and . The midpoint of AC can be found using the formula :
Similarly, the coordinates of points B and D are and . The midpoint of BD is:
Thus, the coordinates of the center of the rectangle are .

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