Question

What additional information do you need to prove ABC=DEF by the SAS postulate

AB=DE
BC=EF
AC=DF

Answer 1

Answer with explanation:

In ΔABC and ΔDEF

It is given that,

1. →∠BAC=∠EDF---------[Given]

2. →AC=DF------[Given]

To prove the two triangles that is ΔABC and ΔDEF congruent by , S AS, we need those two sides which includes the angle between them that is ∠BAC=∠EDF .

As,AC=D F,So the included third side is,

→ AB=DE

Option 1

Answer 2

SAS congruence requires the congruence of two sides and the angle between those sides.
On the picture is given that DF=AC and ∠D=∠A. Angle D lies between DF and DE, angle A lies between AC and AB, Hence you should add AB=DE.
Answer: correct choice is 1.