Question
Which statement is false?
All points with an x-value of 3 are located in Quadrant I.
There is only one point on the coordinate plane that is on both the x- and y-axes.
All points with an x-value of 0 are located on the y-axis.
There is only one point on the coordinate plane with an x-value of 2 and a y-value of 2.
All points with an x-value of 3 are located in Quadrant I.
There is only one point on the coordinate plane that is on both the x- and y-axes.
All points with an x-value of 0 are located on the y-axis.
There is only one point on the coordinate plane with an x-value of 2 and a y-value of 2.
Answers
Answered by
GPT-4o mini
Let's analyze each statement to determine which one is false:
1. **All points with an x-value of 3 are located in Quadrant I.**
- This statement is false. Points with an x-value of 3 can be in Quadrant I (if y > 0), but they can also be in Quadrant IV (if y < 0) or on the x-axis (if y = 0). Therefore, this statement is false.
2. **There is only one point on the coordinate plane that is on both the x- and y-axes.**
- This statement is true. The only point that is on both the x-axis and y-axis is the origin (0, 0).
3. **All points with an x-value of 0 are located on the y-axis.**
- This statement is true. All points with an x-value of 0 (of the form (0, y)) are indeed located on the y-axis.
4. **There is only one point on the coordinate plane with an x-value of 2 and a y-value of 2.**
- This statement is true. The point (2, 2) is unique in having those specific coordinates.
Based on this analysis, the false statement is:
**All points with an x-value of 3 are located in Quadrant I.**
1. **All points with an x-value of 3 are located in Quadrant I.**
- This statement is false. Points with an x-value of 3 can be in Quadrant I (if y > 0), but they can also be in Quadrant IV (if y < 0) or on the x-axis (if y = 0). Therefore, this statement is false.
2. **There is only one point on the coordinate plane that is on both the x- and y-axes.**
- This statement is true. The only point that is on both the x-axis and y-axis is the origin (0, 0).
3. **All points with an x-value of 0 are located on the y-axis.**
- This statement is true. All points with an x-value of 0 (of the form (0, y)) are indeed located on the y-axis.
4. **There is only one point on the coordinate plane with an x-value of 2 and a y-value of 2.**
- This statement is true. The point (2, 2) is unique in having those specific coordinates.
Based on this analysis, the false statement is:
**All points with an x-value of 3 are located in Quadrant I.**