https://file.aiquickdraw.com/mathbot/file/1727981465847p6tlvm6c.jpg

Let's work through the "Congruence Statements" sheet you uploaded.

### Part A: Complete Each Congruence Statement
For congruence, corresponding parts (angles and sides) of congruent triangles are equal. Based on this principle:

1. **ΔDEF ≅ ΔYXZ**  
   EF ≅ ___  
   - Since ΔDEF is congruent to ΔYXZ, side **EF** corresponds to side **XZ**.
   
2. **ΔLMN ≅ ΔPQR**  
   ∠M ≅ ___  
   - ∠M corresponds to ∠Q, so **∠M ≅ ∠Q**.
   
3. **ΔABC ≅ ΔFGH**  
   ∠F ≅ ___  
   - ∠F corresponds to ∠B, so **∠F ≅ ∠B**.
   
4. **ΔSTU ≅ ΔXYZ**  
   ST ≅ ___  
   - ST corresponds to XY, so **ST ≅ XY**.

### Part B: Complete Each Congruence Statement
Using the figures provided:

5. In the triangles ΔQRS and ΔSVW:  
   ∠Q ≅ ___  
   - ∠Q corresponds to ∠S, so **∠Q ≅ ∠S**.
   
6. In the quadrilaterals with congruent sides:  
   AB ≅ ___  
   - AB corresponds to **BC**, so **AB ≅ BC**.
   
7. In the triangles with equal segments and angles marked:  
   HI ≅ ___  
   - HI corresponds to **EI**, so **HI ≅ EI**.
   
8. In the triangles:  
   ∠X ≅ ___  
   - ∠X corresponds to **∠Y**, so **∠X ≅ ∠Y**.

### Question 9:
"If triangles QRS and BCD are congruent, what is the corresponding part of SQ?"

- **SQ corresponds to BD**, since both triangles are congruent and these sides are corresponding.

Would you like a more detailed explanation or help with anything else?

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### Further Questions:
1. Why do congruent triangles have equal corresponding parts?
2. How can you determine corresponding angles in congruent polygons?
3. What criteria can be used to prove that two triangles are congruent?
4. How do you know which sides or angles correspond in congruent shapes?
5. Can congruence be used for shapes other than triangles? How?

**Tip**: When working with congruent triangles, always align corresponding vertices and sides to ensure accuracy.

Congruence Statements worksheet: Complete each congruence statement for triangles and quadrilaterals, including corresponding angles and sides.

Work through congruence statements for triangles and quadrilaterals. Learn to identify corresponding parts (sides and angles) in congruent geometric shapes using the Congruence Theorem and CPCTC. Suitable for students in Grades 7-10.

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