Respuesta :

For this problem you will want to use the SSS postulate which is the Side, Side, Side theorem. This means that if you prove three sides of two triangles congruent, then the triangle is congruent. You already know that two sides are congruent, so use the reflexive property and prove DB congruent to DB

Congruent triangles are similar triangles.

Triangles ADB and CDB are congruent by SSS postulate

From the diagram, we have the following congruent sides

  • [tex]\mathbf{AB \cong BC}[/tex]
  • [tex]\mathbf{AD \cong DC}[/tex].

Triangles ADB and CDB have a common side at BD.

This means that:

[tex]\mathbf{BD \cong BD}[/tex]

The above highlights mean that:

The three sides of the triangles are congruent.

Hence, the triangles are congruent by SSS

Read more about congruent triangles at:

https://brainly.com/question/12413243

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