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The problem shows two triangles, \( \triangle ABC \) and \( \triangle DEF \), which are stated to be similar. The question asks to choose the correct option that shows the congruence of the corresponding angles.

For similar triangles, the corresponding angles must be equal. To determine the correct correspondence:

- In \( \triangle ABC \), vertex \( A \) corresponds to vertex \( D \) in \( \triangle DEF \) because they are in the same relative position.
- Vertex \( B \) in \( \triangle ABC \) corresponds to vertex \( E \) in \( \triangle DEF \).
- Vertex \( C \) in \( \triangle ABC \) corresponds to vertex \( F \) in \( \triangle DEF \).

Thus, the correct correspondence of angles is:
\[
\angle A \cong \angle D, \quad \angle B \cong \angle E, \quad \angle C \cong \angle F
\]

This matches option **B**: \( \angle A \cong \angle D, \quad \angle B \cong \angle E, \quad \angle C \cong \angle F \).

Would you like further details or have any questions?

Here are some related questions to explore:
1. How do you prove that two triangles are similar?
2. What are the Angle-Angle (AA) similarity criteria for triangles?
3. Can congruent triangles also be similar, and if so, under what conditions?
4. How do the side lengths of similar triangles compare?
5. What is the difference between congruence and similarity in geometry?

**Tip**: In similar triangles, the corresponding sides are proportional, and the corresponding angles are congruent.

Robert drew ΔABC to be similar to ΔDEF. Which choice below shows the corresponding congruence of angles?

This problem demonstrates how to identify corresponding congruent angles in two similar triangles, ΔABC and ΔDEF. Based on the AA Similarity Theorem, the solution shows which angles are congruent. Suitable for Grades 8-10.

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