in the adjacent picture DG is the angle bisector and be equals ? DEG ? ? DFG using ASA and SAS congruence criteria

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?means congurent
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DE=DF because it is given (side)
DG=GD because it is a common side (side)
angle EDG= angle GDF because DG BISECTS which means divides into 2 halves (angle)
Therefore, Triangle EDG is congruent by SAS test 


 
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By ASA test
DE=DF because it is given
angle EGD= angle FGD because both of them measure 90degrees
angle EDG= angle GDF because DG bisects angle D 
Therefore, Triangle EDG is congruent to Triangle GDF by ASA test
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But in question proof by ASA and SAS congurence criteria
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