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### Exercise Breakdown

#### Problems 1 and 2: Finding Angle Measures
- **Problem 1**: Given two congruent triangles \( \triangle MLN \cong \triangle QPR \), angles \( M \), \( L \), and \( N \) are marked with numbers \( 1 \) and \( 2 \). Since the triangles are congruent, corresponding angles are equal. 
  - **Angle 1**: Corresponds to angle \( M \). Since angle \( Q \) is 40°, angle 1 must also be **40°**.
  - **Angle 2**: Corresponds to angle \( L \). Since the triangles are congruent, \( L = P \). Therefore, angle 2 must also be **40°**.

- **Problem 2**: Given \( \triangle ABD \cong \triangle GHI \), find the measures of angles 1 and 2.
  - **Angle 1**: Corresponds to \( A \), which is marked as **45°**.
  - **Angle 2**: Corresponds to \( B \), which is **95°**.

#### Problems 3-7: Identifying Corresponding Elements of Congruent Triangles
- **Problem 3**: The congruence statement is \( AB \cong XY \).
- **Problem 4**: Identify the points corresponding to \( A \) and \( B \).
  - **A corresponds to X**.
  - **B corresponds to Y**.

- **Problem 5**: Given \( ZY \cong BC \), confirm corresponding relationships.
- **Problem 6**: \( \angle BAC \cong \angle XYZ \).
- **Problem 7**: \( \angle B \cong \angle Y \).

#### Problems 8 and 9: Listing Congruent Angles and Sides
- **Problem 8**: List four pairs of congruent angles from \( \triangle ABC \) and \( \triangle XYZ \).
  - **\( \angle A \cong \angle X \)**
  - **\( \angle B \cong \angle Y \)**
  - **\( \angle C \cong \angle Z \)**

- **Problem 9**: List four pairs of congruent sides.
  - **\( AB \cong XY \)**
  - **\( BC \cong YZ \)**
  - **\( AC \cong XZ \)**

#### Problems 10 and 11: Congruency Analysis
- **Problem 10**: Determine if \( \triangle SRT \) and \( \triangle PRQ \) are congruent.
  - We need to check if the corresponding angles and sides match, but the markings aren't clear here. However, the congruency can be concluded if there are sufficient corresponding sides and angles.

- **Problem 11**: Determine if \( \triangle ABC \) and \( \triangle FGH \) are congruent.
  - Both triangles have identical markings, suggesting **Side-Angle-Side (SAS)** congruence, hence \( \triangle ABC \cong \triangle FGH \).

### Questions and Suggestions:
Do you want more detailed explanations on any of these problems, or do you have any specific questions?

1. What are the different ways to prove triangle congruence (e.g., SSS, SAS, ASA, AAS)?
2. How can you identify congruent parts of triangles effectively?
3. What are some real-world examples of congruent figures?
4. How do corresponding angles help in identifying congruent triangles?
5. Why are congruence statements important in geometry?

**Tip**: When working with congruent triangles, always ensure to mark corresponding angles and sides clearly, as this simplifies solving related problems.

The practice sheet contains problems related to congruent figures, finding measures of angles, and determining triangle congruence using various theorems such as Side-Angle-Side (SAS) and others.

Explore a practice sheet on congruent figures, including exercises on finding angle measures and applying theorems such as Side-Angle-Side (SAS) to determine triangle congruence. Suitable for students in Grades 8-10.

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