Question 2(Multiple Choice Worth 4 points)
(02.03 LC)

If ΔSTU ≅ ΔHIJ, then what corresponding parts are congruent?

 ∠I and ∠U
 segment TU and segment HI
 ∠I and ∠S
 segment US and segment JH

If ΔSTU ≅ ΔHIJ, corresponding parts (angles and sides) between the triangles are congruent. When two triangles are congruent, their corresponding parts match up in order.

- The first letter of each triangle's name corresponds to each other, so:
  - ∠S corresponds to ∠H
  - ∠T corresponds to ∠I
  - ∠U corresponds to ∠J
- Similarly, the sides also correspond in order:
  - segment ST corresponds to segment HI
  - segment TU corresponds to segment IJ
  - segment US corresponds to segment JH

Let's analyze the given options:

1. **∠I and ∠U**: Incorrect. ∠I corresponds to ∠T, not ∠U.
2. **segment TU and segment HI**: Incorrect. Segment TU corresponds to segment IJ, not HI.
3. **∠I and ∠S**: Incorrect. ∠I corresponds to ∠T, not ∠S.
4. **segment US and segment JH**: Correct. Segment US corresponds to segment JH.

Thus, the correct answer is: **segment US and segment JH**.

Would you like further details or have any other questions?

Here are 5 related questions to consider:
1. What is the definition of congruent triangles?
2. How do we determine which parts of congruent triangles correspond?
3. Can two triangles be congruent if only two pairs of corresponding angles are equal?
4. What is the SSS (Side-Side-Side) congruence theorem?
5. What are other methods of proving triangle congruence, like SAS or ASA?

**Tip**: Always ensure the order of the letters in a congruence statement matches the corresponding parts between the triangles!

If ΔSTU ≅ ΔHIJ, then what corresponding parts are congruent?

∠I and ∠U
segment TU and segment HI
∠I and ∠S
segment US and segment JH

Learn how to determine which parts of congruent triangles ΔSTU and ΔHIJ correspond. This problem covers congruent triangle concepts, including corresponding angles and sides, using the CPCTC theorem. Suitable for students in Grades 8-10.

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