What other information do you need in order to prove the triangles congruent using the SAS Congruence Postulate?2210203782.jpgA)/_BAC ~=/_DACB)bar(AC) ~= bar(BD)C)/_BCA ~=/_DCAD)bar(AC) ~= bar(BD)

Step 1
Given
The triangle are

Step 2
To determine what information need to prove triangles congruent using SAS congruence postulate .
To prove SAS congruence postulate , We need to prove two sides and one angle are congregants in triangle ${\displaystyle \mathrm{△}ACB\text{and}\mathrm{△}ACD}$
By using given diagram
BC is congruent CD to prove ${\displaystyle \mathrm{△}ACB\stackrel{\sim }{=}\mathrm{△}ACD}$
AC is congruent to AC, Using reflective property .
In triangle ABC , AC is angle bisector of angle A and side bisector of BD
By using angle bisector theorem
${\displaystyle \mathrm{\angle }BAC\stackrel{\sim }{=}\mathrm{\angle }DAC}$.
Therefore , To prove triangles congruent using SAS congruence postulate you need information ${\displaystyle \mathrm{\angle }BAC\stackrel{\sim }{=}\mathrm{\angle }DAC}$.