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If triangle ABC cong triangle DEF then ...

If `triangle ABC cong triangle DEF` then
`angle EDF = `________

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To solve the problem, we need to find the measure of angle EDF given that triangle ABC is congruent to triangle DEF. ### Step-by-step Solution: 1. **Understanding Congruence**: Since triangle ABC is congruent to triangle DEF, we can use the property of congruent triangles which states that corresponding parts of congruent triangles are equal. This is often referred to as CPCT (Corresponding Parts of Congruent Triangles). 2. **Identifying Corresponding Angles**: The angles in triangle ABC correspond to the angles in triangle DEF as follows: - Angle A corresponds to angle D - Angle B corresponds to angle E - Angle C corresponds to angle F 3. **Finding Angle EDF**: We need to find angle EDF. From the correspondence established: - Angle EDF corresponds to angle A in triangle ABC. 4. **Conclusion**: Therefore, we can conclude that: \[ \text{Angle EDF} = \text{Angle A} \] ### Final Answer: \[ \text{Angle EDF} = \text{Angle A} \]
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