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If triangle ABC cong triangle DEF then ...

If `triangle ABC cong triangle DEF` then
`CA` = ________

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To solve the problem, we need to determine the length of side CA in triangle ABC given that triangle ABC is congruent to triangle DEF. ### Step-by-Step Solution: 1. **Understand the Congruence**: We are given that triangle ABC is congruent to triangle DEF. This means that all corresponding sides and angles of the two triangles are equal. 2. **Identify Corresponding Parts**: In congruent triangles, the corresponding parts are equal. The notation for congruence can be represented as: - Triangle ABC ≅ Triangle DEF From this, we can identify the corresponding sides: - Side AB corresponds to side DE - Side BC corresponds to side EF - Side CA corresponds to side FD 3. **Apply CPCT**: CPCT stands for Corresponding Parts of Congruent Triangles. According to CPCT, since triangle ABC is congruent to triangle DEF, we can state: - AB = DE - BC = EF - CA = FD 4. **Conclusion**: Since we need to find the length of CA, we can conclude that: - CA = FD Thus, the answer is: **CA = FD**
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