f CA¯¯¯¯¯¯¯¯ = 84

and BC¯¯¯¯¯¯¯¯=85
and △ABC ≅ △ CDA
fill in the following information. Note: The drawings are not to scale

(4 points)
AD¯¯¯¯¯¯¯¯=



CD¯¯¯¯¯¯¯¯=

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1 answer

Since triangles \( \triangle ABC \) and \( \triangle CDA \) are congruent (\( \triangle ABC \cong \triangle CDA \)), it follows that the corresponding sides of the triangles are equal.

Given:

  • \( \overline{CA} = 84 \)
  • \( \overline{BC} = 85 \)

From the congruence of the triangles, we have:

  • \( \overline{AD} = \overline{BC} = 85 \)
  • \( \overline{CD} = \overline{CA} = 84 \)

So, we can fill in the following information:

  • \( \overline{AD} = 85 \)
  • \( \overline{CD} = 84 \)