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.
