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Question
notes: proving triangles congruent
name and mark all of the corresponding parts. △abc ≅ △def
when trying to prove if a triangle is congruent, we do not need all six of the corresponding parts.
Step1: Identify corresponding angles
For congruent triangles $\triangle ABC\cong\triangle DEF$, vertices in the same - order are corresponding. So $\angle A$ corresponds to $\angle D$, $\angle B$ to $\angle E$, $\angle C$ to $\angle F$.
Step2: Identify corresponding sides
Sides between corresponding vertices are corresponding. So side $AB$ corresponds to $DE$, $BC$ to $EF$, and $AC$ to $DF$.
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Corresponding angles: $\angle A=\angle D$, $\angle B=\angle E$, $\angle C=\angle F$. Corresponding sides: $AB = DE$, $BC=EF$, $AC = DF$.