perhaps, or technically, if R-squared is exactly 1 then the adjusted R-squared should also be exactly 1 ... according to their "usual" formula-connection:
The regression line of Y versus X introduces one of the hypotheses that the values of Y depend on those of X, i.e. postulate that the knowledge of the values of X allows to predict the values of Y. It is therefore a forecasting model and the objective is to minimize the forecasting error, i.e. the distance between the observed values Yi and the values Y*i estimated by the relation Y*=mX+c. The residuals will therefore be the distance to the right from the Oy axis.
Also for more information about this subject, I suggest you see the links on the topic.