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If you plotted point (0, 0) on an xy-plane, would the point be located in a quadrant or at the origin?

A. at the origin
B. in a quadrant

Sagot :

GinnyAnsweridn
Let's analyze the given point (0, 0) on an xy-plane.

1. Understanding Coordinates: The xy-plane is a two-dimensional coordinate system where each point is identified by an ordered pair of numbers (x, y).

2. Identifying the Point: In this case, the coordinates are (0, 0).

3. Interpretation:
- The x-coordinate is 0, which means the point is positioned exactly on the y-axis.
- The y-coordinate is 0, which means the point is positioned exactly on the x-axis.

4. Special Case: When both coordinates are zero, the point is located at the intersection of the x-axis and the y-axis. This intersection is known as the origin.

5. Quadrants:
- The xy-plane is divided into four quadrants:
- Quadrant I: Both x and y are positive.
- Quadrant II: x is negative, y is positive.
- Quadrant III: Both x and y are negative.
- Quadrant IV: x is positive, y is negative.
- Since the point (0, 0) does not lie in any of the regions where x and y are both nonzero, it does not belong to any quadrant.

6. Conclusion: Given the point (0, 0), it is located at the origin rather than in any of the four quadrants.

Therefore, the correct answer is:

A. at the origin
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