如图,Rt△ABC和Rt△DEF,∠C=∠F=90°
(1)若∠A=∠D,BC=EF,则Rt△ABC≌Rt△DEF的依据是______.
(2)若∠A=∠D,AC=DF,则Rt△ABC≌Rt△DEF的依据是______.
(3)若∠A=∠D,AB=DE,则Rt△ABC≌Rt△DEF的依据是______.
(4)若AC=DF,AB=DE,则Rt△ABC≌Rt△DEF的依据是______.
(5)若AC=DF,CB=FE,则Rt△ABC≌Rt△DEF的依据是______.
网友回答
解:(1)若∠A=∠D,BC=EF,又因为∠C=∠F=90°,所以可根据AAS判定Rt△ABC≌Rt△DEF;
(2)若∠A=∠D,AC=DF,又因为∠C=∠F=90°,所以可根据ASA判定Rt△ABC≌Rt△DEF;
(3)若∠A=∠D,AB=DE,又因为∠C=∠F=90°,所以可根据AAS判定Rt△ABC≌Rt△DEF;
(4)因为∠C=∠F=90°,若AC=DF,AB=DE,所以可根据HL判定Rt△ABC≌Rt△DEF;
(5)若AC=DF,CB=FE,又因为∠C=∠F=90°,所以可根据SAS判定Rt△ABC≌Rt△DEF.
故