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I am a square. The intersection of my two diagonals lies at the point (4, 4), and the length of each of my sides is 8. My sides form horizontal and vertical lines. Where am I

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User Zkytony
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1 Answer

4 votes

Answer: You are in the upper-right quadrant of the coordinate plane.

Step-by-step explanation: This can be inferred from the following information:

The intersection of your two diagonals lies at the point (4, 4). This means that one of your diagonals must lie along the x-axis and the other must lie along the y-axis.

The length of each of your sides is 8. This means that your square must be centered at the origin.

Your sides form horizontal and vertical lines. This means that your square must be in one of the four quadrants of the coordinate plane.

Since the intersection of your two diagonals lies in the upper-right quadrant, and your square must be centered at the origin, it follows that you must be in the upper-right quadrant of the coordinate plane.

Another way to think about it is that the point (4, 4) is in the upper-right quadrant, and since your square is centered at (4, 4), it follows that you must be in the upper-right quadrant.

Therefore, you are in the upper-right quadrant of the coordinate plane.

answered
User Andrei Cozma
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9.3k points

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