Question

用直尺和圓規(guī)作一個角等于已知角的示意圖如圖所示，則說明∠A′O′B′=∠AOB的依據(jù)是______．

Answer 1

由作法易得OD=O′D′，OC=O′C′，CD=C′D′，依據(jù)SSS可判定△COD≌△C'O'D'，則∠COD≌∠C'O'D'，即∠A'O'B'=∠AOB（全等三角形的對應(yīng)角相等）．
故答案為：全等三角形的對應(yīng)角相等．