Respuesta :

Answer: ASA

Step-by-step Explanation:

The theorem that proves that triangles ABC and CDA are congruent is the ASA theorem

From the figure, we have the following highlights

  • Angle 1 and 4 are congruent
  • Angle 2 and 3 are congruent
  • Both triangles have a common side length at length AC

The above highlights are represented as follows:

  • Angle (A)
  • Angle (A)
  • Side (S)

Since the congruent side is between the congruent angles, then the theorem that proves that both triangles are congruent is the ASA theorem

Read more about congruent triangles at:

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