If CA¯¯¯¯¯¯¯¯ = 84

Question

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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Answer 1

Given that triangles \( \triangle ABC \) and \( \triangle CDA \) are congruent (\( \triangle ABC \cong \triangle CDA \)), the corresponding sides of these triangles are equal.

We are provided with the following lengths:

• \( CA = 84 \)
• \( BC = 85 \)

From the congruence of the triangles, we can deduce the following equalities:

• \( AD = BC = 85 \)
• \( CD = CA = 84 \)

Therefore, we can fill in the following information:

• \( AD = 85 \)
• \( CD = 84 \)