Question

A coordinate plane.

It is on the origin.
It is in Quadrant I.
It is on the x-axis.
It is on the y-axis.

Answer 1

In a coordinate plane, different points can be classified based on their location relative to the axes and quadrants. Here's a brief explanation of your statements:

1. **It is on the origin**: The origin is the point (0, 0) in the coordinate plane, where the x-axis and y-axis intersect.

2. **It is in Quadrant I**: Quadrant I is the area of the coordinate plane where both x and y coordinates are positive. Therefore, any point in this quadrant has coordinates of the form (x, y) where x > 0 and y > 0.

3. **It is on the x-axis**: Points on the x-axis have coordinates of the form (x, 0), meaning the y-coordinate is 0. This includes the origin (0, 0) and points to the left and right of it (e.g., (-1, 0), (1, 0), etc.).

4. **It is on the y-axis**: Points on the y-axis have coordinates of the form (0, y), meaning the x-coordinate is 0. This includes the origin (0, 0) and points above and below it (e.g., (0, -1), (0, 1), etc.).

To summarize, the origin is the only point that can be described by all four statements. Points in Quadrant I cannot be on the x-axis or y-axis because they have positive coordinates for both x and y.