Respuesta :

Answer:

Thus the Side Side Side postulate shows the triangles are congruent.

Step-by-step explanation:

Given:

[tex]AB=AD[/tex]

[tex]CB=CD[/tex]

To prove:

[tex]\triangle ABC\cong \triangle ADC[/tex]

Proof:

1) [tex]AB=AD[/tex]        [Given}

2) [tex]CB=CD[/tex]       [Given]

3)  [tex]AC=AC[/tex]      [Reflexive property of congruence]

4) [tex]\triangle ABC\cong \triangle ADC[/tex]    [By Side Side Side postulate]

Thus the Side Side Side postulate shows the triangles are congruent.