Origin Shifted by 5 Units: Explanation

When the origin is shifted by 5 units, it means that the entire coordinate system has been moved by 5 units in both the x and y directions. This shift affects all the points on the coordinate plane, including the x and y axes.

Effects on the Coordinate Plane:
The shift of the origin by 5 units has the following effects on the coordinate plane:

1. New Origin: The new origin is located at the point (5, 5) instead of the usual point (0, 0). This means that all the points on the coordinate plane are now measured relative to this new origin.

2. Change in Axes: The x and y axes have also shifted by 5 units. The positive x-axis now passes through the point (5, 0), and the positive y-axis passes through the point (0, 5). The negative x-axis passes through the point (-5, 0), and the negative y-axis passes through the point (0, -5).

3. Quadrant Shift: The entire coordinate plane has shifted, resulting in a new arrangement of the quadrants. The first quadrant, which is traditionally located in the top right, is now shifted to the right by 5 units and up by 5 units. The second quadrant is shifted to the left by 5 units and up by 5 units. The third quadrant is shifted to the left by 5 units and down by 5 units. The fourth quadrant is shifted to the right by 5 units and down by 5 units.

Effects on Points and Figures:
The shift of the origin by 5 units also affects the position of points and figures on the coordinate plane. Here are a few examples:

1. Point (2, 3): The point (2, 3) in the original coordinate system will now be located at the point (7, 8) in the shifted coordinate system. This is because both the x and y coordinates have been shifted by 5 units.

2. Line: A line that passes through the point (1, 2) and (4, 5) in the original coordinate system will now pass through the point (6, 7) and (9, 10) in the shifted coordinate system. The entire line has shifted by 5 units in both the x and y directions.

3. Shape: Similarly, any shape or figure on the coordinate plane will be shifted by 5 units in both the x and y directions. The size and proportions of the shape will remain the same, but its position will change.

Conclusion:
When the origin is shifted by 5 units, the entire coordinate system is moved, resulting in a new origin, a change in the position of the axes, and a shift of all points and figures on the coordinate plane. It is important to consider this shift when working with coordinates and performing calculations on the coordinate plane.