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The original figure and its image must be of the same size and the same orientation. That is, you should be able to get from the original to the image by moving the shape along the x-axis and the y-axis and nothing else. However, if the shape has rotational or reflective symmetry, there is no way that you can be sure that it has not been rotated or reflects (as appropriate).
Next to the axis. Next to the axis. Next to the axis. Next to the axis.
The y- axis in the vertical axis and the x-axis in the horizantal axis
The horizontal axis is the x axis and the vertical axis is the y axis
The x-axis in coordinate geometry is the horizontal axis and the y-axis is the vertical axis.