Abstract
In Egypt, different trials were done to obtain the best set of transformation parameters between the Egyptian Datum (ED) and the World Geodetic System 1984 (WGS-84). They differed in their results because of the differences in the used data and models of transformation. Different mathematical models are used, polynomials are among the used models. Because of the lack of the available common data points, some of the researchers applied the polynomials without check points. Normally Polynomials show good behavior, minimum residuals, at the data points and there is no chance to be examined at enough check points. Therefore, users can be tricked while using polynomials in such aim. In this research, the best polynomial from previous research is chosen to be examined using data and check points. So the goal here is not to obtain transformation parameters but to investigate the behavior of the polynomial against the number of used data points and the average spacing between those data points.