To determine which statement about point N is true, we need to consider what it means for a point to be on the x-axis, y-axis, or at the origin (0,0).
- A point on the x-axis has a y-coordinate of 0.
- A point on the y-axis has an x-coordinate of 0.
- The point at the origin, (0,0), is the only point that lies on both axes.
Given this information, let's analyze the statements:
A. Point N is on the x-axis and has an x-coordinate of 0.
- This is impossible because if point N is on the x-axis, its y-coordinate must be 0, not the x-coordinate.
B. Point N is on the x-axis and has a y-coordinate of 0.
- This statement is true if point N lies on the x-axis.
C. Point N is on the y-axis and has a y-coordinate of 0.
- This statement is not true because if N is on the y-axis, it must have an x-coordinate of 0, not a y-coordinate.
D. Point N is on the y-axis and has an x-coordinate of 0.
- This statement is true if point N lies on the y-axis.
Since we require the specific location of point N in the coordinate grid to determine which of these statements is true, and assuming point N's position hasn't been specified, we can only conclude that:
- If point N is on the x-axis, answer B is true.
- If point N is on the y-axis, answer D is true.
Without additional information, we cannot determine which specific statement is correct. If point N is indeed on the x-axis, then B is the correct choice; if on the y-axis, then D is correct.
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