Answer:
Given that,
AB is congruent to CB
BD is a median of AC
To prove: Triangle ABD and Triangle CBD are congruent.
Proof:
From given we get that,
[tex]AB\cong CB[/tex]
Also, we have BD is a median of AC.
BD cuts the side AC into two equal parts.
D is the midpoint of AC.
we get,
[tex]AD=CD[/tex]
Also BD is the common side for both triangles ABD and CBD
From the definition:
SSS Congruence rule: If three sides of one triangle are equal to the corresponding sides of another triangle, then the triangles are congruent.
Using SSS Congruence rule, we get that,
[tex]\Delta ABD\cong\Delta CBD[/tex]
Hence proved.
