Question

What other information do I need in order to prove the triangles are congruent using SAS congruence postulate

Answer 1

Answer:

AC is perpendicular to BD

Step-by-step explanation:

Given a triangle ABD.  C is the mid point of BD.

To prove that the two triangles are congruent we have to use SAS axiom.

Here consider two triangles ABC and ADC

Statement                        Reason

1) BC = CD                       D is the mid point of BD

2) AC = AC                       Reflexive property

Since we have two sides congruence we must have included angle congruence

i.e. Angle ACB = Angle ACD

If this information is given, then this completes the SAS congruence for the two triangles ABC and ADC

Hence answer is

the information that AC is perpendicular to BD is sufficient to complete the proof.